3/4 as a Decimal

3/4 as a decimal is 0.75 exactly, which is 75%.

Result

Answer

\frac{3}{4} = \textcolor{#0b5c56}{0.75}

3/4 as a decimal is 0.75.

  • Percent: 75%

75 of 100 squares ≈ 3/4

Step-by-step solution

The problem

\frac{3}{4}

  1. Divide 3 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 part3 ÷ 4034 × 0 = 0, 3 − 0 = 3
    Decimal place 130 ÷ 4724 × 7 = 28, 30 − 28 = 2
    Decimal place 220 ÷ 4504 × 5 = 20, 20 − 20 = 0

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

    = 3 \div 4 = \textcolor{#0b5c56}{0.75}

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

    \frac{3}{4} = \frac{3 \times 25}{4 \times 25} = \frac{75}{100} = 0.75

All the working together

\begin{aligned} &\frac{3}{4} \\[8pt] &= 3 \div 4 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.75}\end{aligned}

3/4 in other forms

Decimal0.75
Percent75%
Equivalent fractions6/8, 9/12, 12/16, 15/20
The other way0.75 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 3/4 as a decimal?

3/4 as a decimal is 0.75. Divide 3 by 4 to get it.

What is 3/4 as a percent?

3/4 is 75%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 3/4 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.