52/53 as a decimal
52/53 as a decimal is 0.9811320754716… (the digits 9811320754716 repeat forever), which is 0.98 rounded to 2 decimal places.
Change either number to try your own. The digits 9811320754716 repeat. Rounded to 2 places: 0.98. In lowest terms: 52/53.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 52 by the bottom number 53.
- 2
53 does not go into 52 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 53, and write the digit. A remainder comes back after 13 steps, so the digits 9811320754716 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{52}{53} = 0.\overline{9811320754716} \]
\[ \frac{52}{53} = 52 \div 53 \]Long division of 52 by 53
| Step | Remainder × 10 | Divide by 53 | Remainder left |
|---|---|---|---|
| 1 | 520 | 520 ÷ 53 = 9 | 43 |
| 2 | 430 | 430 ÷ 53 = 8 | 6 |
| 3 | 60 | 60 ÷ 53 = 1 | 7 |
| 4 | 70 | 70 ÷ 53 = 1 | 17 |
| 5 | 170 | 170 ÷ 53 = 3 | 11 |
| 6 | 110 | 110 ÷ 53 = 2 | 4 |
| 7 | 40 | 40 ÷ 53 = 0 | 40 |
| 8 | 400 | 400 ÷ 53 = 7 | 29 |
| 9 | 290 | 290 ÷ 53 = 5 | 25 |
| 10 | 250 | 250 ÷ 53 = 4 | 38 |
| 11 | 380 | 380 ÷ 53 = 7 | 9 |
| 12 | 90 | 90 ÷ 53 = 1 | 37 |
Questions
What is 52/53 as a decimal?
52/53 as a decimal is 0.9811320754716… (the digits 9811320754716 repeat forever), which is 0.98 rounded to 2 decimal places.
Is 52/53 a terminating or a repeating decimal?
It repeats. The bottom number 53 = 53 has a prime factor other than 2 and 5, so the division never ends and the block 9811320754716 (13 digits) repeats.
What is 52/53 as a percent?
52/53 is 98.1132075471698…% as a percent.
How do I round 52/53 to 2 decimal places?
52/53 rounded to 2 decimal places is 0.98.