Decimal to Fraction: 5 Mistakes to Avoid

Updated 5 Oct 2026 in Math & Geometry

Converts a decimal to a fraction. The maths is not complicated, but a handful of errors come up again and again in this and related math & geometry calculations. Here is what to watch for.

These calculations appear throughout the Singapore syllabus, from primary school percentages and fractions to secondary school algebra and geometry. Understanding the formula makes problem sums easier because you can recognise which quantity is missing.

Calculators are best used to check working rather than replace it, especially for exams where method marks count. Work the problem by hand first, then confirm with the calculator.

1. Using the wrong percentage base

A percentage change is measured against the original value, not the new one.

2. Population versus sample formulas

Sample standard deviation divides by n − 1; population divides by n.

3. Dropping negative signs

Signs matter for roots, changes and differences.

4. Confusing radius and diameter

Many circle formulas use the radius, which is half the diameter.

5. Rounding too early

Rounding intermediate steps can throw the final answer off.

The correct method

Find the closest numerator/denominator pair.

For example, with these inputs:

the calculator returns:

Related calculations

The Decimal to Fraction Converter applies the formula consistently, so it is a quick way to double-check your own working.

Run your own numbers: Decimal to Fraction Converter

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