7/20 as a Decimal

7/20 as a decimal is 0.35 exactly, which is 35%.

Result

Answer

\frac{7}{20} = \textcolor{#0b5c56}{0.35}

7/20 as a decimal is 0.35.

  • Percent: 35%

35 of 100 squares ≈ 7/20

Step-by-step solution

The problem

\frac{7}{20}

  1. Divide 7 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 part7 ÷ 200720 × 0 = 0, 7 − 0 = 7
    Decimal place 170 ÷ 2031020 × 3 = 60, 70 − 60 = 10
    Decimal place 2100 ÷ 205020 × 5 = 100, 100 − 100 = 0

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

    = 7 \div 20 = \textcolor{#0b5c56}{0.35}

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

    \frac{7}{20} = \frac{7 \times 5}{20 \times 5} = \frac{35}{100} = 0.35

All the working together

\begin{aligned} &\frac{7}{20} \\[8pt] &= 7 \div 20 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt] &= \textcolor{#0b5c56}{0.35}\end{aligned}

7/20 in other forms

Decimal0.35
Percent35%
Equivalent fractions14/40, 21/60, 28/80, 35/100
The other way0.35 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 7/20 as a decimal?

7/20 as a decimal is 0.35. Divide 7 by 20 to get it.

What is 7/20 as a percent?

7/20 is 35%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 7/20 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.