ENGLISH ESPAÑOL
(reverso)
FRACTION/SCIENTIFIC CALCULATOR
MODEL
OPERATION MANUAL
PRINTED IN CHINA / IMPRESO EN CHINA 05BGK (TINSE0529THZZ)
INTRODUCTION
Thank you for purchasing the SHARP Fraction/Scientific Calculator Model
After reading this manual, store it in a convenient location for future reference.
Operational Notes
•Do not carry the calculator around in your back pocket, as it may break when you sit down. The display is made of glass and is particularly fragile.
•Keep the calculator away from extreme heat such as on a car dashboard or near a heater, and avoid exposing it to excessively humid or dusty environments.
•Since this product is not waterproof, do not use it or store it where fluids, for example water, can splash onto it. Raindrops, water spray, juice, coffee, steam, perspiration, etc. will also cause malfunction.
•Clean with a soft, dry cloth. Do not use solvents or wet cloth.
•Do not drop it or apply excessive force.
•Never dispose of batteries in a fire.
•Keep batteries out of the reach of children.
•This product, including accessories, may change due to upgrading without prior notice.
SHARP will not be liable nor responsible for any incidental or consequential economic or property damage caused by misuse and/or malfunctions of this product and its peripherals, unless such liability is acknowledged by law.
♦Press the RESET switch (on the back) only in the following cases. Note that pressing the RESET switch erases all data stored in memory.
•Before using for the first time
•After replacing the batteries
•To clear all memory contents
•If an abnormal condition occurs and all keys are inoperative.
If service should be required for the calculator, use only a SHARP servicing dealer, SHARP approved service facility, or SHARP repair service where available.
Hard Case
1  1  N1  Ø2 +1 Ø3 = 5/6 
– + – =  
2  3 


2  1  2  Ø5 *1 Ø3 = 2/15 
–  × – =  
5  3 


How to Simplify a Fraction
Reducing to its simplest form
If the result of pressing = is displayed with the “SIMP” symbol, the calculation can be reduced further. Use the ª key to set the factor of the fraction to simplify, either automatically or manually.
[Automatic Simplification]
1  2  Ø3 +2  Ø12 =  SIMP  6/12 
– + — = N1 
 
3  12 
 ªFACTOR? SIMP 
 



 


 =* 6_SIMP 
 


 = 
 1/2 
*If you do not know a common factor, press =. The greatest common factor “6” will be displayed.
[Manual Simplification]
1  2  Ø3 +2  Ø12  =  SIMP  6/12 
– + — = N1 
 
3  12 

 ªFACTOR? SIMP 
 




 


 2 =*  SIMP 3/6  


 ª3  = 
 1/2 







* “2” is entered as a factor, and the “SIMP” will be displayed to indicate further simplification of the fraction.
If the entered value is not a common factor, the cursor will be set under the value. Press d to clear the value, then enter a correct common factor. Press Nto return to the “FACTOR?” display.
Now that you have learned how to reduce a fraction to its simplest form, you can start using your calculator to perform fraction calculations quickly and efficiently.
5  1  Ø6 +1  Ø14 =  SIMP  38/42 
– + — = N5 
 
6  14 
 =* 
 19/21 




*If = is pressed instead of ª, the number will automatically be reduced down to its simplest form with the greatest common factor.
Reducing to the lowest denominator
Prior to pressing the =key, a common denominator can be set to organize calculations.
1  1  N1 Ø3 +1 Ø4  1/3+1/4_ 
– + – =  
3  4  ªDENOM.?SIMP  

 

 48 =* 16/48+12/48_  

 =  SIMP 28/48 
*Enter a common denominator of the two fractions.
If the entered value is not a common denominator, the cursor will be set under the value. Press d to clear the value, then enter a correct common denominator. Press N to return to the “DENOM.?” display.
Now that you have learned how to reduce a fraction to its lowest denominator, you can start using your calculator to perform fraction calculations quickly and efficiently.
1  1  N1 Ø3 +1 Ø4  1/3+1/4_ 
– + – =  
3  4  ªDENOM.?SIMP  

 

 =* 12_SIMP  

 =  4/12+3/12_ 

 =  7/12 




DISPLAY
Symbol
Mantissa Exponent
(All symbols will not be displayed simultaneously, as shown
.)
/: Appears when the entire equation cannot be displayed. Press </> to see the remaining (hidden) section.
2ndF  : Appears when @ is pressed, indicating that the 
 functions shown in orange are enabled. 
SIMP  : Indicates that a fraction can be simplified further, or 
 expressed with a lower denominator. 
DEG/RAD/GRAD: Indicates angular units (Degrees, Radians and Grads) and changes each time Gis pressed.
’: Appears when statistical mode is selected.
M: Indicates that a numerical value is stored in the independent memory.
BEFORE USING THE CALCULATOR
Key Notation Used in this Manual
In this manual, key operations are described as follows:
To specify π : @V To specify Exp : E
To access functions printed in orange above keys, press @ first.
In this manual, number entry examples are shown with ordinary numbers (i.e., “100” will be indicated instead of “10 0”).
Power On and Off
Press Nto turn the calculator on, and @Fto turn it off.
Clearing Methods
There are three clearing methods as follows:
Clearing  Entry  M*1  STAT, ANS*2  
operation  (Display) 

 
N 
 ×  ×  
@c 
 × 
 
RESET 


 
 : Clear  × : Retain 


*1  Independent memory M. 

 
*2  Statistical data and last answer memory. 

• To clear the independent memory (M), press NO.
Editing the Equation
•Press <or >to move the cursor.
To return to the equation after getting an answer, press <(>).
•To delete a number, place the cursor on the number to be deleted, then press d.
•To insert a number, move the cursor to the place immediately after where the number is to be inserted, then enter the number.
15  + 8  N15 +8  15+8_  
 ↓  <<dd  15_  
15  – 3  

 


 
13  × 24 = N13 *24 =  312.  
 ↓  <(>)  13×24  
15  × 24 =  >d5 =  360.  




*If = is pressed instead of a number entry, the least common denominator will automatically be displayed.
Conversion from/to a Fraction
º: Converts a decimal or improper fraction to a mixed fraction.
æ: Converts a mixed fraction or decimal to an improper fraction. In some cases, a decimal may not be converted to a fraction.
ø: Converts an improper fraction or a mixed fraction to a decimal.
5  N4 ∞5 Ø6 = 
 4¬5/6 
4– = 
 
6 



→ [A.xxx]  ø  4.833333333  
→ [A/B]  æ 
 29/6 


 
1 ÷ 3 =  1 /3 =  0.333333333  
→ [A/B]  æ 
 1/3 




6 ÷ 5 =  6 /5 = 
 1.2 
→ [A/B]  æ  SIMP  12/10 
→ [AB/C]  º  SIMP  1¬2/10 
→ [A.xxx]  ø 
 1.2 




2  1.25 +2 Ø5 = 
 1.65 
1.25 + – = 
 
5 
 SIMP1¬65/100  
→ [AB/C]  º  
 ª== 
 1¬13/20 




STATISTICAL CALCULATIONS
To enter the statistical mode, press @”. The indicator symbol ’ will light up. The following statistics can be obtained:
–  : Mean of samples 
x  
sx  : Standard deviation of samples 
σx  : Population standard deviation of samples 
n  : Number of samples 
Σx  : Sum of samples 
Σx2  : Sum of the squares of samples 
Entering Data
To enter sample data, use the numeric keys and press k(Okey) after each value.
To enter data with its frequency, use the numeric keys to enter the value, then press §(R key), enter the frequency, then press k.
Enter the data “7”  N@” 
 ’ 
 @c7 
 7_ 
 k  n =  1.* 




There are 13 students  @c70 §13 
 70, 13_ 
who scored 70 in the  k  n =  13. 
test, and 5 students  50 §5 
 50, 5_ 
who scored 50.  k  n =  18. 
* The number of samples for the entered data will be displayed.
•Entered data are kept in memory until @c or @” are pressed. Before entering new data, clear the memory contents.
•If the number of the sample values exceeds 999,999,999 “n=” will not appear.
•When inputting a formula as a sample value with frequency, parenthesize the data.
Example: (A *B )§frequency k
Priority Levels in Calculation
This calculator performs operations according to the following priority:
Q Functions expressed with numerical data placed before (such as
W yx,x¿y
E π
RFunctions expressed with numerical data placed after (such as
TMultiplications with the sign “×” omitted from the front of a function (such as 3cos20)
Y nCr,nPr
U ×, ÷
I +, –
O Operations end commands (such as =, M+, %, DRG, DATA, CD)
•A parenthesized calculation section has precedence over other sections of the calculation.
INITIAL SETUP
Mode Selection
Normal Mode:
Used to perform arithmetic operations and function calculations.
Statistical Mode:
Used to perform statistical operations. To enter statistical mode, press @”. ’ appears on the display to indicate that the statistical mode is selected. To return to normal mode, press @” with ’ on the display. ’disappears as the calculator returns to normal mode.
•The mode will remain selected when the calculator is turned off.
•When executing mode selection, last answer memory will be cleared.
Scientific Notation
People who need to deal with very large and very small numbers often use a special format called exponential or scientific notation.
A number expressed in scientific notation has two parts. The first part consists of a regular decimal number between 1 and 10. The second part represents how large or small the number is in powers of 10.
While a calculation result is displayed in the floating point system, press @´to display the result in the scientific notation system. Pressing @´ once again will bring back the floating point system.
To enter a number in scientific notation, press E.
(1.2 × 1020) × (1.5 × 105)  1.2 E20  *1.5 E5 = 1.8×1025  
3 ÷ 7 = 



[Floating point]  N3 /7 =  0.428571428  
→ [Scientific notation] @´ 
 
[TAB set to 2]  @i2  
→ [Floating point]  @´ 
 0.428571428 
•Use @´ to switch to the scientific notation, press @i, then give a value between 0 and 9 to set the decimal placement. To reset, press @i9.
•The number will be displayed in scientific notation if the
floating point value does not fit in the following range: 0.000000001 ≤  x  ≤ 9999999999
•The last decimal digit in scientific notation will be rounded off.
Determination of the Angular Unit
In this calculator, the following three angular units (degrees, radians, and grads) can be specified.
DEG(°)
Press G
GRAD (g)  RAD (rad) 
SCIENTIFIC CALCULATIONS
•Select the normal mode.
•In each example, press N to clear the display before performing the calculation.
Arithmetic Operations
12+16×3=  N12 +16 *3 =  60. 



350  320.  



72  



(5 +21 )* 
 
 (30  364. 

 
 
 (2  



Constant Calculations
In constant calculations, the addend becomes a constant. Subtraction and division are performed in the same manner. For multiplication, the multiplicand becomes a constant.
245+60=  N245  +60 =  305.  
12+60=  12 
 =  72. 



 
150   20 =  130.  
250 
 =  230.  



 
200÷4=  200 /  4 =  50.  
180÷4=  180 
 =  45. 



 
15×3=  15 * 3  =  45.  
15×10=  10  =  150.  





Functions
•For each example, press N to clear the display.
•Before starting calculations, specify the angular unit.
•The results of inverse trigonometric functions are displayed within the following range:
 θ = 
 θ =  
DEG 
 0 ≤ θ ≤ 180  





RAD  π  π 
 0 ≤ θ ≤ π 
– — ≤ θ ≤  — 
 
 2  2 


GRAD 
 0 ≤ θ ≤ 200  



 





sin60[°]=  Ns60 =  0.866025403  


 
π  Gu(@V/4  
)= 

 0.707106781  
4 

 



 
G@T1 = 
 
G 

 50.  


 



 
ln 20 =  @I20 =  2.995732274  



 
log 50 =  @l50 =  1.698970004  



 
e3=  @e3 =  20.08553692 
101.7= 

 @¡1.7 =  50.11872336  
32 + 52 = 
 3  @L+5 @L=  34.  
√ 
 + 3√ 
 =  @⁄32 +3 @$ 

 
32  21  8.415778426  




 21 =  
74 = 

 7  @™4 = 
 2401.  
4! = 


 4  @!= 
 24.  







 
10P3=  10 @q3 = 
 720.  
5C2=  5  @Q2 = 
 10.  
π 


 @V/3 =  1.047197551  
– = 


 
3 







 










1  1 

 4  @•+5 @•=  0.45  
– + – =  
4  5 






 
200 × 32% = 200  *32 @% 
 64.  







 
150 ÷ 300 = ?% 150  /300 @% 
 50.  







 
200 + (200 × 32%) = 200  +32 @% 
 264.  







 
300 – (300 × 25%) = 300 
 225.  










Random Numbers
A
Angular Unit Conversions
Each time @g are pressed, the angular unit changes in sequence.
90°→ [rad]  N90 @g  1.570796327 
→ [g]  @g  100. 
→ [°]  @g  90. 



@S0.8 =  53.13010235  
→ [rad]  @g  0.927295218 
→ [g]  @g  59.03344706 
→ [°]  @g  53.13010235 



Memory Calculations
This calculator has two memory allocations: independent memory (M), and last answer memory (ANS). You will find them especially useful when combinations of calculations become complicated, or when using the answer of previous calculation to another operations.
Press NOto clear the independent memory (“M” symbol will disappear).
Independent memory (M)
O: Stores the result in the memory.
R: Recalls the value stored in the memory.
@;: Adds the result to the value in the memory.
 N3 *5 O  15.M 
30 + (3 × 5) =  30 +R=  45.M 
(3 × 5) × 4 =  R*4 =  60.M 
N20 +10  25.M  
121+13×2=  121 +13 *2 @;  147.M 
+)  21 *3  47.M 
(Total)  R  219.M 
 NO 




Correcting Entered Data
Correction prior to pressing k:
Delete incorrect data with N.
Correction after pressing k:
Press >to confirm the latest entry and press @J to delete it.
Calculating Statistical Quantities
Score  Number of  @c 
 ’  
 Persons  30  §5 k  n =  5. 

 
30  5  40  §3 k  n =  8. 
40  3  50  §10 k  n =  18. 
50  10  60  §12 k  n =  30. 
60  12  70  §13 k  n =  43. 
70  13  80  §9 k  n =  52. 
80  9  90  §7 k  n =  59. 
90  7  100 §3 k  n =  62.  
100  3  @÷  65.32258065  

 @£  18.52935128  

 @p  18.37931358  

 @n  n =  62.  

 @z  Σx=  4050.  

 @w  Σx2=  285500. 
•If both the resulting digits and the function name (such as Σx=) cannot be contained in the display, only the resulting value will be displayed; the function name will not be displayed.
Statistical Calculation Formulas
x =  Σx 
 σx 

 
n 


 

 
sx = 

 Σx =x1 +x2 + ··· +xn  

 Σx2 =x12 +x22 + ··· +xn2  


(n: number of samples)
In the statistical calculation formulas, an error will occur:
•the absolute value of the intermediate result or calculation result is equal to or greater than 1 × 10100.
•the denominator is zero.
•an attempt is made to take the square root of a negative number.
ERROR AND CALCULATION RANGES
Errors
An error will occur if an operation exceeds the calculation ranges, or if a mathematically illegal operation is attempted. If an error occurs, pressing <(or >) automatically moves the cursor back to the place in the equation where the error occurred. Edit the equation or press N to clear the equation.
Error Codes and Error Types
Syntax error (Error 1):
• An attempt was made to perform an invalid operation.
Ex. 2 + 5 =
Calculation error (Error 2):
•The absolute value of an intermediate or final calculation result equals or exceeds 10100.
•An attempt was made to divide by 0.
•The calculation ranges were exceeded while performing calculations.
Depth error (Error 3):
• The available number of buffers was exceeded. (There are 8 buffers* for numeric values and 16 buffers for calculation instructions). * 4 buffers in STAT mode.
Equation too long (Error 4):
•The equation exceeded its maximum input buffer (159 characters). An equation must be shorter than 159 characters.
Calculation Ranges
•Within the ranges specified below, this calculator is accurate to ±1 of the least significant digit of the mantissa. However, a calculation error increases in continuous calculations due to accumulation of each calculation error. (This is the same for yx,x¿ , etc. where continuous calculations are performed internally.)
Additionally, a calculation error will accumulate and become larger in the vicinity of inflection points and singular points of functions.
•Calculation range:
If the absolute value of an entry or a final or intermediate result of a calculation is less than
Function 


 Dynamic Range 
 





 
sin x  DEG : x < 1010 



 
cos x  (tan x : x ≠ 
 
tan x 
 π  × 10  10 

 
 RAD : x < 


 

 180 



 
 (tan x : x ≠  π  × 
 
 – 
 


 2 





 10 
 10 

 
 GRAD : x < —  × 10 

 


 9 




 (tan x : x ≠ 
 








x ≤ 1 





 





 






 
x < 10100 





 
In x 



 
log x 



 






 


 
yx  . y > 0: 
 
. y = 0: 0 <x < 10100 
 1 
 





 ≠ 0)*,  
 . y < 0:x = n (0 < x < 1: – =  





 x 


 
 100 
 1 
 < 100 (x ≠ 0) 
 
 . y > 0: 
 < – logy 
 



 x 



x¿y  . y = 0: 0 <x < 10100 
 1 
 




 ≠ 0)*,  
 . y < 0:x =  
 100 
 1 
 x 
 

 < – log y < 100 
 



 x 



ex 
 
10x 


 
x2  x < 1050 






¿x  0 ≤ x < 10100 




 
x < 10100 (x ≠ 0) 


 
n!  0 ≤ n ≤ 69* 














nPr  0 ≤ r ≤ n ≤ 69* 



 
nCr 



 






 

 
DRG  DEG→RAD, GRAD→DEG : x < 10100  



 π  98 
 
 RAD→GRAD : x < –  × 10 
 




 2 







 * n, r: positive integers 
BATTERY REPLACEMENT
Notes on Battery Replacement
Improper handling of batteries can cause electrolyte leakage or explosion. Be sure to observe the following handling rules:
•Replace both batteries at the same time.
•Do not mix new and old batteries.
•Make sure the new batteries are the correct type.
•When installing, orient each battery correctly as indicated in the calculator.
•The
When to Replace the Batteries
If the display has poor contrast or nothing appears on the display even when N is pressed, it is time to replace the batteries.
Caution
•Fluid from a leaking battery accidentally entering an eye could result in serious injury. Should this occur, wash with clean water and immediately consult a doctor.
•Should fluid from a leaking battery come into contact with your skin or clothes, immediately wash with clean water.
•If the product is not to be used for some time, to avoid damage to the unit from leaking batteries, remove them and store in a safe place.
•Do not leave exhausted batteries inside the product.
•Do not fit partially used batteries, and be sure not to mix batteries of different types.
•Keep batteries out of the reach of children.
•Exhausted batteries left in the calculator may leak and damage the calculator.
•Explosion risk may be caused by incorrect handling.
•Do not throw batteries into a fire as they may explode.
Replacement Procedure
1. Turn the power off by pressing @F.
2. Loosen both screws and remove the battery cover.
3. Replace the old batteries with new, with the positive (+) sides facing up.
4.Replace the battery cover and screws.
5.Press the RESET switch on the back.
•Make sure that the display appears as shown. Otherwise, remove the batteries, reinstall, and check the display again.
Automatic Power Off Function
This calculator will turn its power off automatically if no key is pressed for about 10 minutes.
Last answer memory (ANS)
When = is pressed, the calculation result will automatically be stored in the last answer memory.
@?: Recalls the value stored in last answer memory.
6+4 = ANS  N6  +4  =  10. 
ANS + 5  +5  = 
 15. 



 
8 × 2 = ANS  8 *2 = 
 16.  
ANS2  @L=  256.  
4 ÷ 5 = 0.8…(A)  N4  /5  =  0.8 
4 × (A) + 60 ÷ (A) = 4 *@?+60 / 
 
 @?=  78.2  





Calculating the Greatest Common Factor (G.C.F.) or Least Common Multiple (L.C.M.)
To calculate the G.C.F. or the L.C.M., the procedures are as follows:
What is the G.C.F.  N24  24_ 
of 24 and 36?  @œ36  24GCF36_ 
 =  12. 



What is the L.C.M.  N15  15_ 
of 15 and 9?  @ˆ9  15LCM9_ 
 =  45. 



Calculating Quotient and Remainder
“: Calculates the quotient and remainder.
23 ÷ 5  N  23  @“5 
 23‘5_ 
(R: Remainder) = 

 4.  R3.  



 
9.5 ÷ 4  9.5 @“4 
 9.5‘4_  
 = 

 2.  R1.5 




 
–  32  
 = 

 6. 
•Pressing “ cannot be followed by pressing a key for another operation such as (+,
•The calculator can display a quotient or remainder up to 5 digits in length, including the
FRACTION CALCULATIONS
Entering Fractions
• To enter fractions, use the following keys:
Ø: Places the symbol “/” between the numerator and the denominator.
∞: Separates the integer (whole number) part from the fractional part of a mixed number.
2  N2  Ø3  =  2/3 
– =  
3 




1  4  ∞1  Ø2 =  4¬1/2 
4– =  
2 




•Up to 10 key strokes, including “¬” and “/”, can be used to enter a fraction.
Calculating with Fractions
Fractions can be incorporated into an arithmetic calculation.
“SIMP” symbol will appear with a calculation result if the answer can be further simplified. Refer to the following section of this manual for details.
SPECIFICATIONS
Calculations:  General arithmetic operations (add, 
 subtract, multiply, divide, operations 
 with constants, memory operations, 
 fraction operations, function 
 operations, statistical operations, 
 etc.) 
Internal calculations:  Mantissas of up to 12 digits 
Pending operations:  16 calculations 8 numeric values 
 (4 numeric values in STAT mode) 
Power source:  3V ¶ (DC): 
 Alkaline batteries 
 (LR44 or equivalent) × 2 
Power consumption:  0.0006 W 
Operating time:  Approx. 2000 hours, when 
 continuously displaying 55555. at 
 25°C. (77°F) 
 May vary according to usage and 
 other factors. 
Operating temperature: 0°C – 40°C (32°F – 104°F)  
External dimensions:  78.6 mm (W) × 144 mm (D) 
 × 11.6 mm (H) 
 
 × 15/32” (H) 
Weight:  Approx. 75 g (0.17 lb) 
 (Including batteries) 
Accessories:  Batteries × 2 (installed), operation 
 manual, quick reference card and 
 hard case. 
FOR MORE INFORMATION
Visit us on the Internet at:
http://www.sharpusa.com
http://www.sharpplace.com
SHARP ELECTRONICS