1/10 as a Decimal

1/10 as a decimal is 0.1 exactly, which is 10%.

Result

Answer

\frac{1}{10} = \textcolor{#0b5c56}{0.1}

1/10 as a decimal is 0.1.

  • Percent: 10%

10 of 100 squares ≈ 1/10

Step-by-step solution

The problem

\frac{1}{10}

  1. Divide 1 by 10 (long division). Write down how many times 10 goes in, carry the remainder, add a 0 and divide again. The remainder is 0, so the decimal ends here.

    StepDivideDigitRemainderWorking
    Whole part1 ÷ 100110 × 0 = 0, 1 − 0 = 1
    Decimal place 110 ÷ 101010 × 1 = 10, 10 − 10 = 0

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

    = 1 \div 10 = \textcolor{#0b5c56}{0.1}

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

    \frac{1}{10} = \frac{1 \times 1}{10 \times 1} = \frac{1}{10} = 0.1

All the working together

\begin{aligned} &\frac{1}{10} \\[8pt] &= 1 \div 10 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.1}\end{aligned}

1/10 in other forms

Decimal0.1
Percent10%
Equivalent fractions2/20, 3/30, 4/40, 5/50
The other way0.1 as a fraction

Why it ends

In lowest terms the denominator is 10 = 2 × 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 10 as decimals

FractionDecimalPercent
1/100.110%
2/100.220%
3/100.330%
4/100.440%
5/100.550%
6/100.660%
7/100.770%
8/100.880%
9/100.990%
11/101.1110%
12/101.2120%
13/101.3130%
14/101.4140%
15/101.5150%
16/101.6160%
17/101.7170%
18/101.8180%
19/101.9190%
21/102.1210%
22/102.2220%
23/102.3230%
24/102.4240%
25/102.5250%
26/102.6260%
27/102.7270%
28/102.8280%
29/102.9290%

Frequently asked questions

What is 1/10 as a decimal?

1/10 as a decimal is 0.1. Divide 1 by 10 to get it.

What is 1/10 as a percent?

1/10 is 10%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 1/10 a terminating or a repeating decimal?

Terminating – the digits stop. In lowest terms the denominator is 10 = 2 × 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.