# Percent to fraction conversion

 Enter percent: % Fraction view: Fraction result:

Fraction to percent converter ►

## How to convert percent to fraction

Divide the percent by [100] to get decimal number.

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 = 10d

Example:

f = 102 = 100

Multiply and divide the decimal number x by the factor f:

x × f / f  =  y / f

Example:

2.56 × 100 / 100 = 256 / 100

Find the greatest common divisor (gcd) of the fraction.

Example:

gcd(256,100) = 4

Reduce the fraction by dividing the numerator and denominator by the [gcd] value.

Example:

256 / 100 = (256/4) / (100/4) = 64/25

#### Example 1

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:

Example 1

55% is equal to [55/100] with gcd=4 is equal to [14/25].

55% = 55/100 = 11/20

Example 2

65% is equal to [65/100] with gcd=4 is equal to [14/25].

65/100 = 13/20

Example 3

80% is equal to [80/100] with gcd=4 is equal to [14/25].

8/10 = 4/5

## Percent to fraction conversion table

PercentFraction
1%1/100
10%1/10
11.11%1/9
12.5%1/8
14.29%1/7
16.67%1/6
20%1/5
22.22%2/9
25%1/4
28.57%2/7
30%3/10
33.33%1/3
37.5%3/8
40%2/5
42.86%3/7
44.44%4/9
50%1/2
55.56%5/9
57.14%4/7
62.5%5/8
66.67%2/3
60%3/5
70%7/10
71.435/7
75%3/4
77.78%7/9
80%4/5
83.335/6
85.716/7
87.5%7/8
88.89%8/9
90%9/10

Fraction to percent conversion ►

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