2/25 as a Decimal

2/25 as a decimal is 0.08 exactly, which is 8%.

Result

Answer

\frac{2}{25} = \textcolor{#0b5c56}{0.08}

2/25 as a decimal is 0.08.

  • Percent: 8%

8 of 100 squares ≈ 2/25

Step-by-step solution

The problem

\frac{2}{25}

  1. Divide 2 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 part2 ÷ 250225 × 0 = 0, 2 − 0 = 2
    Decimal place 120 ÷ 2502025 × 0 = 0, 20 − 0 = 20
    Decimal place 2200 ÷ 258025 × 8 = 200, 200 − 200 = 0

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

    = 2 \div 25 = \textcolor{#0b5c56}{0.08}

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

    \frac{2}{25} = \frac{2 \times 4}{25 \times 4} = \frac{8}{100} = 0.08

All the working together

\begin{aligned} &\frac{2}{25} \\[8pt] &= 2 \div 25 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.08}\end{aligned}

2/25 in other forms

Decimal0.08
Percent8%
Equivalent fractions4/50, 6/75, 8/100, 10/125
The other way0.08 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 2/25 as a decimal?

2/25 as a decimal is 0.08. Divide 2 by 25 to get it.

What is 2/25 as a percent?

2/25 is 8%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 2/25 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.