6/5 as a Decimal

6/5 as a decimal is 1.2, the same as 1 1/5 or 120%.

Result

Answer

\frac{6}{5} = \textcolor{#0b5c56}{1.2}

6/5 as a decimal is 1.2.

  • Percent: 120%

1 whole + 1 of 5 equal parts

Step-by-step solution

The problem

\frac{6}{5}

  1. Divide 6 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 part6 ÷ 5115 × 1 = 5, 6 − 5 = 1
    Decimal place 110 ÷ 5205 × 2 = 10, 10 − 10 = 0

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

    = 6 \div 5 = \textcolor{#0b5c56}{1.2}

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

    \frac{6}{5} = \frac{6 \times 2}{5 \times 2} = \frac{12}{10} = 1.2

All the working together

\begin{aligned} &\frac{6}{5} \\[8pt] &= 6 \div 5 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{1.2}\end{aligned}

6/5 in other forms

Decimal1.2
Percent120%
Mixed number1 1/5
Equivalent fractions12/10, 18/15, 24/20, 30/25
The other way1.2 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 6/5 as a decimal?

6/5 as a decimal is 1.2. Divide 6 by 5 to get it.

What is 6/5 as a percent?

6/5 is 120%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 6/5 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.