4/25 as a Decimal

4/25 as a decimal is 0.16 exactly, which is 16%.

Result

Answer

\frac{4}{25} = \textcolor{#0b5c56}{0.16}

4/25 as a decimal is 0.16.

  • Percent: 16%

16 of 100 squares ≈ 4/25

Step-by-step solution

The problem

\frac{4}{25}

  1. Divide 4 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 part4 ÷ 250425 × 0 = 0, 4 − 0 = 4
    Decimal place 140 ÷ 2511525 × 1 = 25, 40 − 25 = 15
    Decimal place 2150 ÷ 256025 × 6 = 150, 150 − 150 = 0

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

    = 4 \div 25 = \textcolor{#0b5c56}{0.16}

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

    \frac{4}{25} = \frac{4 \times 4}{25 \times 4} = \frac{16}{100} = 0.16

All the working together

\begin{aligned} &\frac{4}{25} \\[8pt] &= 4 \div 25 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.16}\end{aligned}

4/25 in other forms

Decimal0.16
Percent16%
Equivalent fractions8/50, 12/75, 16/100, 20/125
The other way0.16 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 4/25 as a decimal?

4/25 as a decimal is 0.16. Divide 4 by 25 to get it.

What is 4/25 as a percent?

4/25 is 16%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 4/25 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.