21/8 as a Decimal

21/8 as a decimal is 2.625, the same as 2 5/8 or 262.5%.

Result

Answer

\frac{21}{8} = \textcolor{#0b5c56}{2.625}

21/8 as a decimal is 2.625.

  • Percent: 262.5%

2 wholes + 5 of 8 equal parts

Step-by-step solution

The problem

\frac{21}{8}

  1. Divide 21 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 part21 ÷ 8258 × 2 = 16, 21 − 16 = 5
    Decimal place 150 ÷ 8628 × 6 = 48, 50 − 48 = 2
    Decimal place 220 ÷ 8248 × 2 = 16, 20 − 16 = 4
    Decimal place 340 ÷ 8508 × 5 = 40, 40 − 40 = 0

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

    = 21 \div 8 = \textcolor{#0b5c56}{2.625}

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

    \frac{21}{8} = \frac{21 \times 125}{8 \times 125} = \frac{2625}{1000} = 2.625

All the working together

\begin{aligned} &\frac{21}{8} \\[8pt] &= 21 \div 8 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{2.625}\end{aligned}

21/8 in other forms

Decimal2.625
Percent262.5%
Mixed number2 5/8
Equivalent fractions42/16, 63/24, 84/32, 105/40

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 21/8 as a decimal?

21/8 as a decimal is 2.625. Divide 21 by 8 to get it.

What is 21/8 as a percent?

21/8 is 262.5%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 21/8 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.