7/8 as a Decimal

7/8 as a decimal is 0.875 exactly, which is 87.5%.

Result

Answer

\frac{7}{8} = \textcolor{#0b5c56}{0.875}

7/8 as a decimal is 0.875.

  • Percent: 87.5%

88 of 100 squares ≈ 7/8

Step-by-step solution

The problem

\frac{7}{8}

  1. Divide 7 by 8 (long division). Write down how many times 8 goes in, carry the remainder, add a 0 and divide again. The remainder is 0, so the decimal ends here.

    StepDivideDigitRemainderWorking
    Whole part7 ÷ 8078 × 0 = 0, 7 − 0 = 7
    Decimal place 170 ÷ 8868 × 8 = 64, 70 − 64 = 6
    Decimal place 260 ÷ 8748 × 7 = 56, 60 − 56 = 4
    Decimal place 340 ÷ 8508 × 5 = 40, 40 − 40 = 0

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

    = 7 \div 8 = \textcolor{#0b5c56}{0.875}

  3. Check with a shortcut. The denominator 8 can be made 1000 by multiplying by 125, so the decimal ends after 3 places.

    \frac{7}{8} = \frac{7 \times 125}{8 \times 125} = \frac{875}{1000} = 0.875

All the working together

\begin{aligned} &\frac{7}{8} \\[8pt] &= 7 \div 8 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.875}\end{aligned}

7/8 in other forms

Decimal0.875
Percent87.5%
Equivalent fractions14/16, 21/24, 28/32, 35/40
The other way0.875 as a fraction

Why it ends

In lowest terms the denominator is 8 = 23. Its only prime factors are 2 and 5 (the factors of 10), so the division comes out exactly and the decimal ends.

Fractions over 8 as decimals

FractionDecimalPercent
1/80.12512.5%
2/80.2525%
3/80.37537.5%
4/80.550%
5/80.62562.5%
6/80.7575%
7/80.87587.5%
9/81.125112.5%
10/81.25125%
11/81.375137.5%
12/81.5150%
13/81.625162.5%
14/81.75175%
15/81.875187.5%
17/82.125212.5%
18/82.25225%
19/82.375237.5%
20/82.5250%
21/82.625262.5%
22/82.75275%
23/82.875287.5%

Frequently asked questions

What is 7/8 as a decimal?

7/8 as a decimal is 0.875. Divide 7 by 8 to get it.

What is 7/8 as a percent?

7/8 is 87.5%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 7/8 a terminating or a repeating decimal?

Terminating – the digits stop. In lowest terms the denominator is 8 = 23. 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.