7/20 as a decimal
Divide 7 by 20, or make the bottom 100: 7/20 = 35/100 = 0.35.
The answer
7/20 = 0.35
How to turn 7/20 into a decimal
The quick way is to make an equivalent fraction with a bottom of 100, because hundredths can be written straight down as a decimal.
- 20 × 5 = 100.
- Do the same to the top: 7 × 5 = 35.
- So 7/20 = 35/100, which is 35 hundredths.
35 hundredths is written 0.35: the last digit goes in the hundredths column.
You can also divide the top by the bottom. Short division gives the same answer:
- 20 does not go into 7, so write 0 and a decimal point, then carry the 7 over as 70 tenths.
- 20 goes into 70 3 times, remainder 10. Write 3, and carry the 10 to make 100.
- 20 goes into 100 5 times exactly. Write 5.
- The remainder is 0, so the division stops: 7 ÷ 20 = 0.35.
7/20 as a fraction, decimal and percentage
| Fraction | Decimal | Percentage |
|---|---|---|
| 7/20 | 0.35 | 35% |
Multiply the top and bottom by the same number and the fraction keeps its value: 7/20, 14/40, 21/60, 28/80 and 35/100 are all equal.
All the twentieths
Keep going
Questions parents ask
What is 7/20 as a decimal?
7/20 = 0.35.
Is 7/20 a recurring decimal?
No. 20 × 5 = 100, so 7/20 is exactly 35/100 and the decimal stops at 0.35.
Is 7/20 more or less than a half?
7/20 is less than a half: 0.35 is less than 0.5. Half of 20 is 10, and 7 is less than 10.
What is 7/20 as a percentage?
7/20 = 35%.
Which fractions are the same as 7/20?
14/40, 21/60, 28/80, 35/100 and every other fraction you make by multiplying the top and bottom of 7/20 by the same number. They all equal 0.35.
Fractions, decimals and percentages run all through 11+ maths
Converting between them turns up in 11+ questions on percentages, ratio, money and data. The free diagnostic checks maths, English and both kinds of reasoning, and shows what to practise next. No card is required.