13/20 as a Decimal

13/20 as a decimal is 0.65 exactly, which is 65%.

Result

Answer

\frac{13}{20} = \textcolor{#0b5c56}{0.65}

13/20 as a decimal is 0.65.

  • Percent: 65%

65 of 100 squares ≈ 13/20

Step-by-step solution

The problem

\frac{13}{20}

  1. Divide 13 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 part13 ÷ 2001320 × 0 = 0, 13 − 0 = 13
    Decimal place 1130 ÷ 2061020 × 6 = 120, 130 − 120 = 10
    Decimal place 2100 ÷ 205020 × 5 = 100, 100 − 100 = 0

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

    = 13 \div 20 = \textcolor{#0b5c56}{0.65}

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

    \frac{13}{20} = \frac{13 \times 5}{20 \times 5} = \frac{65}{100} = 0.65

All the working together

\begin{aligned} &\frac{13}{20} \\[8pt] &= 13 \div 20 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.65}\end{aligned}

13/20 in other forms

Decimal0.65
Percent65%
Equivalent fractions26/40, 39/60, 52/80, 65/100
The other way0.65 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 13/20 as a decimal?

13/20 as a decimal is 0.65. Divide 13 by 20 to get it.

What is 13/20 as a percent?

13/20 is 65%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 13/20 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.