3/5 as a Decimal

3/5 as a decimal is 0.6 exactly, which is 60%.

Result

Answer

\frac{3}{5} = \textcolor{#0b5c56}{0.6}

3/5 as a decimal is 0.6.

  • Percent: 60%

60 of 100 squares ≈ 3/5

Step-by-step solution

The problem

\frac{3}{5}

  1. Divide 3 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 part3 ÷ 5035 × 0 = 0, 3 − 0 = 3
    Decimal place 130 ÷ 5605 × 6 = 30, 30 − 30 = 0

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

    = 3 \div 5 = \textcolor{#0b5c56}{0.6}

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

    \frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10} = 0.6

All the working together

\begin{aligned} &\frac{3}{5} \\[8pt] &= 3 \div 5 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.6}\end{aligned}

3/5 in other forms

Decimal0.6
Percent60%
Equivalent fractions6/10, 9/15, 12/20, 15/25
The other way0.6 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 3/5 as a decimal?

3/5 as a decimal is 0.6. Divide 3 by 5 to get it.

What is 3/5 as a percent?

3/5 is 60%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 3/5 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.