15/8 as a Decimal

15/8 as a decimal is 1.875, the same as 1 7/8 or 187.5%.

Result

Answer

\frac{15}{8} = \textcolor{#0b5c56}{1.875}

15/8 as a decimal is 1.875.

  • Percent: 187.5%

1 whole + 7 of 8 equal parts

Step-by-step solution

The problem

\frac{15}{8}

  1. Divide 15 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 part15 ÷ 8178 × 1 = 8, 15 − 8 = 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.

    = 15 \div 8 = \textcolor{#0b5c56}{1.875}

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

    \frac{15}{8} = \frac{15 \times 125}{8 \times 125} = \frac{1875}{1000} = 1.875

All the working together

\begin{aligned} &\frac{15}{8} \\[8pt] &= 15 \div 8 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{1.875}\end{aligned}

15/8 in other forms

Decimal1.875
Percent187.5%
Mixed number1 7/8
Equivalent fractions30/16, 45/24, 60/32, 75/40

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 15/8 as a decimal?

15/8 as a decimal is 1.875. Divide 15 by 8 to get it.

What is 15/8 as a percent?

15/8 is 187.5%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 15/8 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.