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Fractions can be more precise than decimals. For example: 1/3 can not be expressed exactly as a decimal. .33333333333333333333333333333333333333333... is only an approximation.
Some numbers cannot be expressed precisely as either a fraction or a decimal. pi is an example.
Count the number of digits (d) to the right of the decimal point of the decimal number.Example: 2.56 has 2 digits to the right of the decimal point, so d=2.
Calculate the factor (f) for making the decimal number an integer:
f = 10 to power d
Example: f = 10 power 2 = 100
Multiply and divide the decimal number x by the factor f:
x * f / f = y / f
2.56 * 100 / 100 = 256 / 100
Find the greatest common divisor (gcd) of the fraction.
gcd(256,100) = 4
Reduce the fraction by dividing the numerator and denominator by the gcd value:
256 / 100 = (256/4) / (100/4) = 64/25
One percent is equal to one hundredth:
1% = 1/100
So in order to convert percent to fraction, divide the percent by 100% and reduce the fraction.
For example 56% is equal to 56/100 with gcd=4 is equal to 14/25:
56% = 56/100 = 14/25
Decimal to fraction:
Type in your decimal (i.e. .5)
Then press [MATH] > press [ENTER] on [>FRAC]
Then press [ENTER] again
For a fraction to decimal:
Simply type in the fraction and press [ENTER]
(*Note that the decimal value is truncated to fit the screen)
Hope that helps! Have fun calculating!
The following examples will demonstrate how to
convert decimals into fractions using the TI-30Xa and TI-30Xa Solar.
Please be aware that TI-30Xa Solar School Edition calculators do not
have this functionality.
Let us first set the record straight: Your calculation is a division not an addition. Be it as it may, the result you obtain is correct the fraction is equivalent to the one you entered, the difference lie in the fact that the calculator reduces the (entered) fraction to its simplest form. Both the numerator and the denomonator have been divided by 15.
If the result is already calculated and displayed, press the
[S<=>D] key It will convert a fraction or radical to decimal. This
is always possible. If the result is decimal it may be converted to a
fraction or a radical (Not always possible).
If the expression to
be evaluated is still in the command line and you have not pressed the
[=] key, you can force the result to be displayed in decimal format by
pressing [SHIFT][=] instead of just [=].
More permanently. If you
do n o care for fractions and radicals, set the Input/Outpout mode to LineIO.
To do do press [SHIFT][MODE] to access the (SETUP) screen and select
Three was I know of... a fraction is recognized by a calculator...
if you want to put in the decimal equivalent as example..
one half is .5
and it will only display the decimal equivalent.
Then there is scientific notation EE
EG... .5 = 1/2 = 5.0 EE-1