1/4 as a Decimal

1/4 as a decimal is 0.25 exactly, which is 25%.

Result

Answer

\frac{1}{4} = \textcolor{#0b5c56}{0.25}

1/4 as a decimal is 0.25.

  • Percent: 25%

25 of 100 squares ≈ 1/4

Step-by-step solution

The problem

\frac{1}{4}

  1. Divide 1 by 4 (long division). Write down how many times 4 goes in, carry the remainder, add a 0 and divide again. The remainder is 0, so the decimal ends here.

    StepDivideDigitRemainderWorking
    Whole part1 ÷ 4014 × 0 = 0, 1 − 0 = 1
    Decimal place 110 ÷ 4224 × 2 = 8, 10 − 8 = 2
    Decimal place 220 ÷ 4504 × 5 = 20, 20 − 20 = 0

  2. Read off the decimal. The digits are read from the Digit column.

    = 1 \div 4 = \textcolor{#0b5c56}{0.25}

  3. Check with a shortcut. The denominator 4 can be made 100 by multiplying by 25, so the decimal ends after 2 places.

    \frac{1}{4} = \frac{1 \times 25}{4 \times 25} = \frac{25}{100} = 0.25

All the working together

\begin{aligned} &\frac{1}{4} \\[8pt] &= 1 \div 4 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.25}\end{aligned}

1/4 in other forms

Decimal0.25
Percent25%
Equivalent fractions2/8, 3/12, 4/16, 5/20
The other way0.25 as a fraction

Why it ends

In lowest terms the denominator is 4 = 22. Its only prime factors are 2 and 5 (the factors of 10), so the division comes out exactly and the decimal ends.

Fractions over 4 as decimals

FractionDecimalPercent
1/40.2525%
2/40.550%
3/40.7575%
5/41.25125%
6/41.5150%
7/41.75175%
9/42.25225%
10/42.5250%
11/42.75275%

Frequently asked questions

What is 1/4 as a decimal?

1/4 as a decimal is 0.25. Divide 1 by 4 to get it.

What is 1/4 as a percent?

1/4 is 25%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 1/4 a terminating or a repeating decimal?

Terminating – the digits stop. In lowest terms the denominator is 4 = 22. Its only prime factors are 2 and 5 (the factors of 10), so the division comes out exactly and the decimal ends.

More fractions as decimals

Any other fraction: use the Fraction to Decimal Calculator, or see every fraction to sixteenths on the printable fraction chart.