13/16 as a Decimal

13/16 as a decimal is 0.8125 exactly, which is 81.25%.

Result

Answer

\frac{13}{16} = \textcolor{#0b5c56}{0.8125}

13/16 as a decimal is 0.8125.

  • Percent: 81.25%

81 of 100 squares ≈ 13/16

Step-by-step solution

The problem

\frac{13}{16}

  1. Divide 13 by 16 (long division). Write down how many times 16 goes in, carry the remainder, add a 0 and divide again. The remainder is 0, so the decimal ends here.

    StepDivideDigitRemainderWorking
    Whole part13 ÷ 1601316 × 0 = 0, 13 − 0 = 13
    Decimal place 1130 ÷ 168216 × 8 = 128, 130 − 128 = 2
    Decimal place 220 ÷ 161416 × 1 = 16, 20 − 16 = 4
    Decimal place 340 ÷ 162816 × 2 = 32, 40 − 32 = 8
    Decimal place 480 ÷ 165016 × 5 = 80, 80 − 80 = 0

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

    = 13 \div 16 = \textcolor{#0b5c56}{0.8125}

  3. Check with a shortcut. The denominator 16 can be made 10,000 by multiplying by 625, so the decimal ends after 4 places.

    \frac{13}{16} = \frac{13 \times 625}{16 \times 625} = \frac{8125}{10{,}000} = 0.8125

All the working together

\begin{aligned} &\frac{13}{16} \\[8pt] &= 13 \div 16 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.8125}\end{aligned}

13/16 in other forms

Decimal0.8125
Percent81.25%
Equivalent fractions26/32, 39/48, 52/64, 65/80
The other way0.8125 as a fraction

Why it ends

In lowest terms the denominator is 16 = 24. Its only prime factors are 2 and 5 (the factors of 10), so the division comes out exactly and the decimal ends.

Fractions over 16 as decimals

FractionDecimalPercent
1/160.06256.25%
2/160.12512.5%
3/160.187518.75%
4/160.2525%
5/160.312531.25%
6/160.37537.5%
7/160.437543.75%
8/160.550%
9/160.562556.25%
10/160.62562.5%
11/160.687568.75%
12/160.7575%
13/160.812581.25%
14/160.87587.5%
15/160.937593.75%

Frequently asked questions

What is 13/16 as a decimal?

13/16 as a decimal is 0.8125. Divide 13 by 16 to get it.

What is 13/16 as a percent?

13/16 is 81.25%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 13/16 a terminating or a repeating decimal?

Terminating – the digits stop. In lowest terms the denominator is 16 = 24. 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.