3/40 as a Decimal – 0.075 (with Steps)

Q: What is 3/40 as a decimal?

3/40 as a decimal is 0.075. Divide 3 by 40 to get it.

Q: What is 3/40 as a percent?

3/40 is 7.5%: multiply the decimal by 100 (move the decimal point two places to the right).

3/40 as a Decimal

3/40 as a decimal is 0.075 exactly, which is 7.5%.

Result

Answer

\frac{3}{40} = \textcolor{#0b5c56}{0.075}

3/40 as a decimal is 0.075.

Percent: 7.5%

8 of 100 squares ≈ 3/40

Step-by-step solution

The problem

\frac{3}{40}

Divide 3 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	3 ÷ 40	0	3	40 × 0 = 0, 3 − 0 = 3
Decimal place 1	30 ÷ 40	0	30	40 × 0 = 0, 30 − 0 = 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.
= 3 \div 40 = \textcolor{#0b5c56}{0.075}
Check with a shortcut. The denominator 40 can be made 1000 by multiplying by 25, so the decimal ends after 3 places.
\frac{3}{40} = \frac{3 \times 25}{40 \times 25} = \frac{75}{1000} = 0.075

All the working together

\begin{aligned} &\frac{3}{40} \\[8pt]  &= 3 \div 40 && \textcolor{#5b6660}{\textsf{divide}} \\[8pt]  &= \textcolor{#0b5c56}{0.075}\end{aligned}

3/40 in other forms

Decimal	0.075
Percent	7.5%
Equivalent fractions	6/80, 9/120, 12/160, 15/200

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 3/40 as a decimal?

3/40 as a decimal is 0.075. Divide 3 by 40 to get it.

What is 3/40 as a percent?

3/40 is 7.5%: multiply the decimal by 100 (move the decimal point two places to the right).

Is 3/40 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.