7/40 as a Decimal – 0.175 (with Steps)

Q: What is 7/40 as a decimal?

7/40 as a decimal is 0.175. Divide 7 by 40 to get it.

Q: What is 7/40 as a percent?

7/40 is 17.5%: multiply the decimal by 100 (move the decimal point two places to the right).

7/40 as a Decimal

7/40 as a decimal is 0.175 exactly, which is 17.5%.

Result

Answer

\frac{7}{40} = \textcolor{#0b5c56}{0.175}

7/40 as a decimal is 0.175.

Percent: 17.5%

18 of 100 squares ≈ 7/40

Step-by-step solution

The problem

\frac{7}{40}

Divide 7 by 40 (long division). Write down how many times 40 goes in, carry the remainder, add a 0 and divide again. The remainder is 0, so the decimal ends here.

Step	Divide	Digit	Remainder	Working
Whole part	7 ÷ 40	0	7	40 × 0 = 0, 7 − 0 = 7
Decimal place 1	70 ÷ 40	1	30	40 × 1 = 40, 70 − 40 = 30
Decimal place 2	300 ÷ 40	7	20	40 × 7 = 280, 300 − 280 = 20
Decimal place 3	200 ÷ 40	5	0	40 × 5 = 200, 200 − 200 = 0

Read off the decimal. The digits are read from the Digit column.
= 7 \div 40 = \textcolor{#0b5c56}{0.175}
Check with a shortcut. The denominator 40 can be made 1000 by multiplying by 25, so the decimal ends after 3 places.
\frac{7}{40} = \frac{7 \times 25}{40 \times 25} = \frac{175}{1000} = 0.175

All the working together

\begin{aligned} &\frac{7}{40} \\[8pt]  &= 7 \div 40 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt]  &= \textcolor{#0b5c56}{0.175}\end{aligned}

7/40 in other forms

Decimal	0.175
Percent	17.5%
Equivalent fractions	14/80, 21/120, 28/160, 35/200

Why it ends

In lowest terms the denominator is 40 = 2³ × 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 40 as decimals

Fraction	Decimal	Percent
1/40	0.025	2.5%
3/40	0.075	7.5%
7/40	0.175	17.5%
9/40	0.225	22.5%
11/40	0.275	27.5%
13/40	0.325	32.5%
17/40	0.425	42.5%
19/40	0.475	47.5%
21/40	0.525	52.5%
23/40	0.575	57.5%
27/40	0.675	67.5%
29/40	0.725	72.5%
31/40	0.775	77.5%
33/40	0.825	82.5%
37/40	0.925	92.5%
39/40	0.975	97.5%

Frequently asked questions

What is 7/40 as a decimal?

7/40 as a decimal is 0.175. Divide 7 by 40 to get it.

What is 7/40 as a percent?

7/40 is 17.5%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 7/40 a terminating or a repeating decimal?

Terminating – the digits stop. In lowest terms the denominator is 40 = 2³ × 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.