7/16 as a Decimal

7/16 as a decimal is 0.4375 exactly, which is 43.75%.

Result

Answer

\frac{7}{16} = \textcolor{#0b5c56}{0.4375}

7/16 as a decimal is 0.4375.

  • Percent: 43.75%

44 of 100 squares ≈ 7/16

Step-by-step solution

The problem

\frac{7}{16}

  1. Divide 7 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 part7 ÷ 160716 × 0 = 0, 7 − 0 = 7
    Decimal place 170 ÷ 164616 × 4 = 64, 70 − 64 = 6
    Decimal place 260 ÷ 1631216 × 3 = 48, 60 − 48 = 12
    Decimal place 3120 ÷ 167816 × 7 = 112, 120 − 112 = 8
    Decimal place 480 ÷ 165016 × 5 = 80, 80 − 80 = 0

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

    = 7 \div 16 = \textcolor{#0b5c56}{0.4375}

  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{7}{16} = \frac{7 \times 625}{16 \times 625} = \frac{4375}{10{,}000} = 0.4375

All the working together

\begin{aligned} &\frac{7}{16} \\[8pt] &= 7 \div 16 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.4375}\end{aligned}

7/16 in other forms

Decimal0.4375
Percent43.75%
Equivalent fractions14/32, 21/48, 28/64, 35/80
The other way0.4375 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 7/16 as a decimal?

7/16 as a decimal is 0.4375. Divide 7 by 16 to get it.

What is 7/16 as a percent?

7/16 is 43.75%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 7/16 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.