Fractions to Decimal Calculator

Fraction to decimal: divide numerator by denominator. 3/4 = 0.75. 1/3 = 0.3333...

What this calculator does

Decimal to fraction: write as x/1, multiply both by 10^(decimal places), then simplify.

How it works

1/7 = 0.142857 — a repeating decimal with 6-digit cycle.

When to use this calculator

This tool is most valuable when you need a result to compare against something else: a quoted figure, a competing option, or a budget threshold. Accurate comparisons require accurate inputs and arithmetic — this calculator ensures both.

Common mistakes

A common mistake is applying the formula in the wrong direction — particularly with percentage and ratio problems, where the part and the whole can be mistakenly swapped. Check which value is the reference (the 'whole') before entering inputs.

Real-world scenarios

A student checks their overall module grade before results day: 3 assignments scored 72%, 68%, and 81% — the calculator confirms the weighted average and tells them what score they would need on the final exam to achieve a target grade.

Frequently asked questions

How do you convert a fraction to a decimal?

Divide the numerator by the denominator. 3/4 = 3 ÷ 4 = 0.75.