# Percent to Fraction Calculator

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

Enter a percent or

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## 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)