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.