12/5 as a Decimal

12/5 as a decimal is 2.4, the same as 2 2/5 or 240%.

Result

Answer

\frac{12}{5} = \textcolor{#0b5c56}{2.4}

12/5 as a decimal is 2.4.

  • Percent: 240%

2 wholes + 2 of 5 equal parts

Step-by-step solution

The problem

\frac{12}{5}

  1. Divide 12 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 part12 ÷ 5225 × 2 = 10, 12 − 10 = 2
    Decimal place 120 ÷ 5405 × 4 = 20, 20 − 20 = 0

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

    = 12 \div 5 = \textcolor{#0b5c56}{2.4}

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

    \frac{12}{5} = \frac{12 \times 2}{5 \times 2} = \frac{24}{10} = 2.4

All the working together

\begin{aligned} &\frac{12}{5} \\[8pt] &= 12 \div 5 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{2.4}\end{aligned}

12/5 in other forms

Decimal2.4
Percent240%
Mixed number2 2/5
Equivalent fractions24/10, 36/15, 48/20, 60/25
The other way2.4 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 12/5 as a decimal?

12/5 as a decimal is 2.4. Divide 12 by 5 to get it.

What is 12/5 as a percent?

12/5 is 240%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 12/5 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.