Fractions to Decimals: A Practical Conversion Guide

Most fractions you'll meet are friendly. A few aren't. Knowing which is which saves time and embarrassment.

If you have ever stared at a number on a form and wondered where it came from, you are not alone. Most fractions you'll meet are friendly. A few aren't. Knowing which is which saves time and embarrassment.

The mechanical method

Top divided by bottom. 3/4 = 3 ÷ 4 = 0.75. Done.

The common fractions worth memorising

1/2 = 0.5, 1/3 ≈ 0.333, 1/4 = 0.25, 1/5 = 0.2, 1/8 = 0.125, 1/10 = 0.1.

Repeating decimals

1/3 = 0.333... 1/7 = 0.142857142857... Some fractions never resolve cleanly — that's normal.

When to keep as a fraction

Algebra (exact arithmetic), recipes (easier to halve), construction (imperial inches). When to decimalise: science, engineering, finance.

Pro tips

  • To convert a decimal back to fraction: write digits over the relevant power of 10, simplify. 0.625 = 625/1000 = 5/8.
  • If a fraction ends in a denominator of only 2s and/or 5s in lowest terms, the decimal terminates.

Frequently asked questions

Why does 1/3 never end? Because 3 is not a factor of 10 (the base of our number system).

How do I add fractions with different denominators? Find a common denominator first, then add numerators.

Bookmark the calculator linked above — you will need it more often than you think.

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