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Percent to Fraction Calculator

Convert percents to fractions step by step

The calculator will convert the percent into a fraction (proper, improper, mixed number), with steps shown.

Enter a percent or

Your input: %

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Solution

Your input: Convert the percent `25.4%` into fraction.

Recall that "percent" means "per hundred".

Therefore, we can write that `25.4%=(25.4)/100`

As can be seen, the number in the numerator has a decimal part. We need to get rid of it.

Since the decimal part contains `1` digit (to the right of the decimal point), we need to multiply the number by `10^(1)=10` to obtain an integer.

Now, using the equivalence of fractions we can write that

`(25.4)/100=(25.4*color(red)(10))/(100*color(red)(10))=(254)/(1000)`

Next, try to reduce the fraction.

Since the greatest common divisor of the numerator and the denominator equals 2, we can write that `(254)/(1000)=(127*color(red)(2))/(500*color(red)(2))=(127)/(500)`

Answer: `25.4%= (127)/(500)`