47/57 as a decimal
47/57 as a decimal is 0.824561403508771929… (the digits 824561403508771929 repeat forever), which is 0.82 rounded to 2 decimal places.
Change either number to try your own. The digits 824561403508771929 repeat. Rounded to 2 places: 0.82. In lowest terms: 47/57.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 47 by the bottom number 57.
- 2
57 does not go into 47 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 57, and write the digit. A remainder comes back after 18 steps, so the digits 824561403508771929 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{47}{57} = 0.\overline{824561403508771929} \]
\[ \frac{47}{57} = 47 \div 57 \]Long division of 47 by 57
| Step | Remainder × 10 | Divide by 57 | Remainder left |
|---|---|---|---|
| 1 | 470 | 470 ÷ 57 = 8 | 14 |
| 2 | 140 | 140 ÷ 57 = 2 | 26 |
| 3 | 260 | 260 ÷ 57 = 4 | 32 |
| 4 | 320 | 320 ÷ 57 = 5 | 35 |
| 5 | 350 | 350 ÷ 57 = 6 | 8 |
| 6 | 80 | 80 ÷ 57 = 1 | 23 |
| 7 | 230 | 230 ÷ 57 = 4 | 2 |
| 8 | 20 | 20 ÷ 57 = 0 | 20 |
| 9 | 200 | 200 ÷ 57 = 3 | 29 |
| 10 | 290 | 290 ÷ 57 = 5 | 5 |
| 11 | 50 | 50 ÷ 57 = 0 | 50 |
| 12 | 500 | 500 ÷ 57 = 8 | 44 |
Questions
What is 47/57 as a decimal?
47/57 as a decimal is 0.824561403508771929… (the digits 824561403508771929 repeat forever), which is 0.82 rounded to 2 decimal places.
Is 47/57 a terminating or a repeating decimal?
It repeats. The bottom number 57 = 3 × 19 has a prime factor other than 2 and 5, so the division never ends and the block 824561403508771929 (18 digits) repeats.
What is 47/57 as a percent?
47/57 is 82.456140350877192982…% as a percent.
How do I round 47/57 to 2 decimal places?
47/57 rounded to 2 decimal places is 0.82.