1/20 as a Decimal

1/20 as a decimal is 0.05 exactly, which is 5%.

Result

Answer

\frac{1}{20} = \textcolor{#0b5c56}{0.05}

1/20 as a decimal is 0.05.

  • Percent: 5%

5 of 100 squares ≈ 1/20

Step-by-step solution

The problem

\frac{1}{20}

  1. Divide 1 by 20 (long division). Write down how many times 20 goes in, carry the remainder, add a 0 and divide again. The remainder is 0, so the decimal ends here.

    StepDivideDigitRemainderWorking
    Whole part1 ÷ 200120 × 0 = 0, 1 − 0 = 1
    Decimal place 110 ÷ 2001020 × 0 = 0, 10 − 0 = 10
    Decimal place 2100 ÷ 205020 × 5 = 100, 100 − 100 = 0

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

    = 1 \div 20 = \textcolor{#0b5c56}{0.05}

  3. Check with a shortcut. The denominator 20 can be made 100 by multiplying by 5, so the decimal ends after 2 places.

    \frac{1}{20} = \frac{1 \times 5}{20 \times 5} = \frac{5}{100} = 0.05

All the working together

\begin{aligned} &\frac{1}{20} \\[8pt] &= 1 \div 20 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.05}\end{aligned}

1/20 in other forms

Decimal0.05
Percent5%
Equivalent fractions2/40, 3/60, 4/80, 5/100
The other way0.05 as a fraction

Why it ends

In lowest terms the denominator is 20 = 22 × 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 20 as decimals

FractionDecimalPercent
1/200.055%
3/200.1515%
7/200.3535%
9/200.4545%
11/200.5555%
13/200.6565%
17/200.8585%
19/200.9595%

Frequently asked questions

What is 1/20 as a decimal?

1/20 as a decimal is 0.05. Divide 1 by 20 to get it.

What is 1/20 as a percent?

1/20 is 5%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 1/20 a terminating or a repeating decimal?

Terminating – the digits stop. In lowest terms the denominator is 20 = 22 × 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.