57/58 as a decimal
57/58 as a decimal is 0.98275862068965517241379310344… (the digits 8275862068965517241379310344 repeat forever), which is 0.98 rounded to 2 decimal places.
Change either number to try your own. The digits 8275862068965517241379310344 repeat. Rounded to 2 places: 0.98. In lowest terms: 57/58.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 57 by the bottom number 58.
- 2
58 does not go into 57 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 58, and write the digit. A remainder comes back after 29 steps, so the digits 8275862068965517241379310344 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{57}{58} = 0.9\overline{8275862068965517241379310344} \]
\[ \frac{57}{58} = 57 \div 58 \]Long division of 57 by 58
| Step | Remainder × 10 | Divide by 58 | Remainder left |
|---|---|---|---|
| 1 | 570 | 570 ÷ 58 = 9 | 48 |
| 2 | 480 | 480 ÷ 58 = 8 | 16 |
| 3 | 160 | 160 ÷ 58 = 2 | 44 |
| 4 | 440 | 440 ÷ 58 = 7 | 34 |
| 5 | 340 | 340 ÷ 58 = 5 | 50 |
| 6 | 500 | 500 ÷ 58 = 8 | 36 |
| 7 | 360 | 360 ÷ 58 = 6 | 12 |
| 8 | 120 | 120 ÷ 58 = 2 | 4 |
| 9 | 40 | 40 ÷ 58 = 0 | 40 |
| 10 | 400 | 400 ÷ 58 = 6 | 52 |
| 11 | 520 | 520 ÷ 58 = 8 | 56 |
| 12 | 560 | 560 ÷ 58 = 9 | 38 |
Questions
What is 57/58 as a decimal?
57/58 as a decimal is 0.98275862068965517241379310344… (the digits 8275862068965517241379310344 repeat forever), which is 0.98 rounded to 2 decimal places.
Is 57/58 a terminating or a repeating decimal?
It repeats. The bottom number 58 = 2 × 29 has a prime factor other than 2 and 5, so the division never ends and the block 8275862068965517241379310344 (28 digits) repeats.
What is 57/58 as a percent?
57/58 is 98.2758620689655172413793103448…% as a percent.
How do I round 57/58 to 2 decimal places?
57/58 rounded to 2 decimal places is 0.98.