6/25 as a Decimal

6/25 as a decimal is 0.24 exactly, which is 24%.

Result

Answer

\frac{6}{25} = \textcolor{#0b5c56}{0.24}

6/25 as a decimal is 0.24.

  • Percent: 24%

24 of 100 squares ≈ 6/25

Step-by-step solution

The problem

\frac{6}{25}

  1. Divide 6 by 25 (long division). Write down how many times 25 goes in, carry the remainder, add a 0 and divide again. The remainder is 0, so the decimal ends here.

    StepDivideDigitRemainderWorking
    Whole part6 ÷ 250625 × 0 = 0, 6 − 0 = 6
    Decimal place 160 ÷ 2521025 × 2 = 50, 60 − 50 = 10
    Decimal place 2100 ÷ 254025 × 4 = 100, 100 − 100 = 0

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

    = 6 \div 25 = \textcolor{#0b5c56}{0.24}

  3. Check with a shortcut. The denominator 25 can be made 100 by multiplying by 4, so the decimal ends after 2 places.

    \frac{6}{25} = \frac{6 \times 4}{25 \times 4} = \frac{24}{100} = 0.24

All the working together

\begin{aligned} &\frac{6}{25} \\[8pt] &= 6 \div 25 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.24}\end{aligned}

6/25 in other forms

Decimal0.24
Percent24%
Equivalent fractions12/50, 18/75, 24/100, 30/125
The other way0.24 as a fraction

Why it ends

In lowest terms the denominator is 25 = 52. Its only prime factors are 2 and 5 (the factors of 10), so the division comes out exactly and the decimal ends.

Fractions over 25 as decimals

FractionDecimalPercent
1/250.044%
2/250.088%
3/250.1212%
4/250.1616%
6/250.2424%
7/250.2828%
8/250.3232%
9/250.3636%
11/250.4444%
12/250.4848%
13/250.5252%
14/250.5656%
16/250.6464%
17/250.6868%
18/250.7272%
19/250.7676%
21/250.8484%
22/250.8888%
23/250.9292%
24/250.9696%

Frequently asked questions

What is 6/25 as a decimal?

6/25 as a decimal is 0.24. Divide 6 by 25 to get it.

What is 6/25 as a percent?

6/25 is 24%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 6/25 a terminating or a repeating decimal?

Terminating – the digits stop. In lowest terms the denominator is 25 = 52. 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.