21/52 as a decimal
21/52 as a decimal is 0.40384615… (the digits 384615 repeat forever), which is 0.40 rounded to 2 decimal places.
Change either number to try your own. The digits 384615 repeat. Rounded to 2 places: 0.40. In lowest terms: 21/52.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 21 by the bottom number 52.
- 2
52 does not go into 21 even once, so the whole part is 0 and we carry on after the decimal point.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 52, and write the digit. A remainder comes back after 8 steps, so the digits 384615 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{21}{52} = 0.40\overline{384615} \]
\[ \frac{21}{52} = 21 \div 52 \]Long division of 21 by 52
| Step | Remainder × 10 | Divide by 52 | Remainder left |
|---|---|---|---|
| 1 | 210 | 210 ÷ 52 = 4 | 2 |
| 2 | 20 | 20 ÷ 52 = 0 | 20 |
| 3 | 200 | 200 ÷ 52 = 3 | 44 |
| 4 | 440 | 440 ÷ 52 = 8 | 24 |
| 5 | 240 | 240 ÷ 52 = 4 | 32 |
| 6 | 320 | 320 ÷ 52 = 6 | 8 |
| 7 | 80 | 80 ÷ 52 = 1 | 28 |
| 8 | 280 | 280 ÷ 52 = 5 | 20 |
Questions
What is 21/52 as a decimal?
21/52 as a decimal is 0.40384615… (the digits 384615 repeat forever), which is 0.40 rounded to 2 decimal places.
Is 21/52 a terminating or a repeating decimal?
It repeats. The bottom number 52 = 2 × 2 × 13 has a prime factor other than 2 and 5, so the division never ends and the block 384615 (6 digits) repeats.
What is 21/52 as a percent?
21/52 is 40.384615…% as a percent.
How do I round 21/52 to 2 decimal places?
21/52 rounded to 2 decimal places is 0.40.