8/5 as a Decimal

8/5 as a decimal is 1.6, the same as 1 3/5 or 160%.

Result

Answer

\frac{8}{5} = \textcolor{#0b5c56}{1.6}

8/5 as a decimal is 1.6.

  • Percent: 160%

1 whole + 3 of 5 equal parts

Step-by-step solution

The problem

\frac{8}{5}

  1. Divide 8 by 5 (long division). Write down how many times 5 goes in, carry the remainder, add a 0 and divide again. The remainder is 0, so the decimal ends here.

    StepDivideDigitRemainderWorking
    Whole part8 ÷ 5135 × 1 = 5, 8 − 5 = 3
    Decimal place 130 ÷ 5605 × 6 = 30, 30 − 30 = 0

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

    = 8 \div 5 = \textcolor{#0b5c56}{1.6}

  3. Check with a shortcut. The denominator 5 can be made 10 by multiplying by 2, so the decimal ends after 1 place.

    \frac{8}{5} = \frac{8 \times 2}{5 \times 2} = \frac{16}{10} = 1.6

All the working together

\begin{aligned} &\frac{8}{5} \\[8pt] &= 8 \div 5 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{1.6}\end{aligned}

8/5 in other forms

Decimal1.6
Percent160%
Mixed number1 3/5
Equivalent fractions16/10, 24/15, 32/20, 40/25
The other way1.6 as a fraction

Why it ends

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

Fractions over 5 as decimals

FractionDecimalPercent
1/50.220%
2/50.440%
3/50.660%
4/50.880%
6/51.2120%
7/51.4140%
8/51.6160%
9/51.8180%
11/52.2220%
12/52.4240%
13/52.6260%
14/52.8280%

Frequently asked questions

What is 8/5 as a decimal?

8/5 as a decimal is 1.6. Divide 8 by 5 to get it.

What is 8/5 as a percent?

8/5 is 160%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 8/5 a terminating or a repeating decimal?

Terminating – the digits stop. In lowest terms the denominator is 5 = 5. 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.