Fractions

Decimal to Fraction Calculator

Convert any decimal to a fraction in simplest form. Enter a decimal and see how to write it as a fraction over a power of 10, then simplify.

Enter a decimal

As a fraction

3/4

Step-by-step working

Write as a fraction over a power of 10
$0.75 = \frac{75}{100}$
There are 2 decimal places, so the denominator is 10^{2} = 100.
Result:75/100
Simplify by dividing by the GCD
$\text{GCD}(75,\, 100) = 25$
The greatest common divisor is 25.
Divide numerator and denominator by GCD
$\frac{75}{100} = \frac{3}{4} = \frac{3}{4}$
Divide both by 25 to get the fraction in simplest form.
Result:3/4

0.\overline{d_1 d_2 \ldots d_n} = \frac{\text{digits}}{10^n}

n

Number of decimal places

10^n

Power of 10 used as denominator

Example substitution

0.75 = \frac{75}{100} = \frac{3}{4}

2 decimal places → denominator 100. Simplify: GCD(75,100)=25.

0.5 as fraction

Answer: 1/2

0.75 as fraction

Answer: 3/4

0.125 as fraction

Answer: 1/8

How do you convert a decimal to a fraction?+

Write the decimal as a fraction with a power of 10 as the denominator (e.g., 0.75 = 75/100), then simplify by dividing by the GCD.

What is 0.5 as a fraction?+

0.5 = 5/10 = 1/2 in simplest form.

What is 0.75 as a fraction?+

0.75 = 75/100 = 3/4 in simplest form.

How do you convert a recurring decimal to a fraction?+

Multiply by a power of 10 to shift the repeating part, subtract the original equation to eliminate the repeating digits, then solve for the fraction.

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