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Master Fraction to Decimal

Convert a fraction to a decimal by dividing the numerator by the denominator. Example: 3/4 = 0.75. Some fractions produce repeating decimals.

What is Fraction to Decimal Conversion?

Dividing numerator by denominator

To convert a fraction to a decimal, divide the numerator by the denominator. Example: 3/4 = 3 ÷ 4 = 0.75. Some fractions produce repeating decimals (e.g. 1/3 = 0.333…).

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Divide

Numerator ÷ denominator. Use long division if needed for repeating decimals.

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Fraction to Decimal Rules

Key steps for converting fractions to decimals

Division

a/b = a ÷ b. Perform the division to get a terminating or repeating decimal.

\frac{3}{4} = 3 ÷ 4 = 0.75
\frac{1}{2} = 0.5

Repeating Decimals

When the division does not terminate, the decimal repeats. Example: 1/3 = 0.333…

\frac{1}{3} = 0.\overline{3}
\frac{1}{6} = 0.1\overline{6}

Fraction to Decimal Examples

Worked examples

Basic Examples

\frac{3}{4}0.75
\frac{1}{2}0.5
\frac{2}{5}0.4

Why Fraction to Decimal Matters

Converting fractions to decimals helps with calculators, comparisons, and real-world measurements often given in decimal form.

Applications

Used in measurements, percentages, and when working with decimal tools.

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Fraction to Decimal Practice

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