Convert 0.52 to a Fraction

Quickly express 0.52 as a fraction and see detailed conversion steps and simplification rules.

Result

0.52 =
13
25
0.52
=
52
100
(2 decimal places → denominator 100)
52/100
→ simplify ÷4
13
25
(divide numerator and denominator by 4)

Step 1: 0.52 has 2 decimal places, so write it as 52/100.

Step 2: Divide numerator and denominator by 4: 52/100 → 13/25.

Property: In simplest terms, denominators with prime factors only 2 and/or 5 produce terminating decimals.

FAQ

Why can 0.52 be converted to a fraction?
Decimals can be expressed as fractions by using place value and simplifying.
0.52 terminating or repeating?
It is terminating.
Can it be simplified further?
13/25 is simplest.

Related Conversions

Extended Reading: What 0.52 Means in Real Life

Percentage & Ratio: 0.52 can be interpreted as 13/25 in practical scenarios like discounts and rates.

Statistics: A proportion of 0.52 often represents a 52% probability — for example, a 52% significance level (p-value) in experiments or surveys.

Finance: Rates expressed with 0.52 (e.g., 52%) appear in returns and fees.

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