Fraction to Decimal Calculator

About Fraction to Decimal Calculator

Divide the numerator by the denominator to convert a fraction to a decimal.

How to use this calculator

1. Enter the numerator, the top number of the fraction.
2. Enter the denominator, the bottom number, and make sure it is not zero.
3. Click the convert button to divide the numerator by the denominator.
4. Read the decimal result, and note whether it is terminating or repeating.

The formula explained

The formula \(\frac{a}{b} = a \div b\) means the fraction is converted by dividing the numerator \(a\) by the denominator \(b\). The decimal is the quotient of that division.

• a = numerator, the top number in the fraction
• b = denominator, the bottom number in the fraction
• \(a \div b\) = the division needed to convert the fraction to a decimal

Step by step method

1. Take the numerator and divide it by the denominator.
2. If needed, use long division to continue past the decimal point.
3. Write the decimal value, and simplify repeating digits with a bar or ellipsis if the decimal does not end.

Worked example

Problem. Convert \(\frac{7}{8}\) to a decimal.

1. Divide 7 by 8: \(7 \div 8\).
2. Using long division gives \(0.875\).
3. So \(\frac{7}{8} = 0.875\).

Tips and common mistakes

• A denominator of zero is not allowed, so the fraction must have a nonzero bottom number.
• Some fractions give repeating decimals, like \(\frac{1}{3} = 0.333\ldots\), so do not round too early if you need exact accuracy.

Frequently asked questions