Pythagorist
Fractions

Fraction to Decimal Calculator

Convert any fraction to a decimal with step-by-step working. Shows the division clearly, and identifies whether the result is a terminating or recurring decimal.

Enter a fraction

Decimal

0.75

Terminating decimal

Step-by-step working

  1. Set up the division

    34=3÷4\frac{3}{4} = 3 \div 4

    To convert a fraction to a decimal, divide the numerator by the denominator.

  2. Perform the division

    3÷4=0.753 \div 4 = 0.75

    3 ÷ 4 = 0.75.

    Result:0.75

The formula

ab=a÷b\frac{a}{b} = a \div b
aaNumerator (top number)
bbDenominator (bottom number)

Example substitution

38=3÷8=0.375\frac{3}{8} = 3 \div 8 = 0.375

Divide the numerator by the denominator.

Worked examples

1/4 as decimal

  1. 1
    Division: 1 ÷ 4
  2. 2
    Result: 0.25
Answer: 0.25

3/8 as decimal

  1. 1
    Division: 3 ÷ 8
  2. 2
    Result: 0.375
Answer: 0.375

1/3 as decimal

  1. 1
    Division: 1 ÷ 3
  2. 2
    Result: 0.333...
Answer: 0.3̄ (recurring)

Frequently asked questions

How do you convert a fraction to a decimal?+

Divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75.

What is 1/3 as a decimal?+

1/3 = 0.3333... (a recurring decimal, written as 0.3̄). It never terminates because 3 does not divide evenly into any power of 10.

What is the difference between terminating and recurring decimals?+

A terminating decimal ends (e.g., 0.25). A recurring decimal repeats forever (e.g., 0.333...). Fractions with denominators that only have factors of 2 and 5 produce terminating decimals.

What is 1/8 as a decimal?+

1/8 = 0.125.

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