21/59 as a decimal
21/59 as a decimal is 0.3559322033898305084745762711864406779661016949152542372881… (the digits 3559322033898305084745762711864406779661016949152542372881 repeat forever), which is 0.36 rounded to 2 decimal places.
Change either number to try your own. The digits 3559322033898305084745762711864406779661016949152542372881 repeat. Rounded to 2 places: 0.36. In lowest terms: 21/59.
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 59.
- 2
59 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 59, and write the digit. A remainder comes back after 58 steps, so the digits 3559322033898305084745762711864406779661016949152542372881 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{21}{59} = 0.\overline{3559322033898305084745762711864406779661016949152542372881} \]
\[ \frac{21}{59} = 21 \div 59 \]Long division of 21 by 59
| Step | Remainder × 10 | Divide by 59 | Remainder left |
|---|---|---|---|
| 1 | 210 | 210 ÷ 59 = 3 | 33 |
| 2 | 330 | 330 ÷ 59 = 5 | 35 |
| 3 | 350 | 350 ÷ 59 = 5 | 55 |
| 4 | 550 | 550 ÷ 59 = 9 | 19 |
| 5 | 190 | 190 ÷ 59 = 3 | 13 |
| 6 | 130 | 130 ÷ 59 = 2 | 12 |
| 7 | 120 | 120 ÷ 59 = 2 | 2 |
| 8 | 20 | 20 ÷ 59 = 0 | 20 |
| 9 | 200 | 200 ÷ 59 = 3 | 23 |
| 10 | 230 | 230 ÷ 59 = 3 | 53 |
| 11 | 530 | 530 ÷ 59 = 8 | 58 |
| 12 | 580 | 580 ÷ 59 = 9 | 49 |
Questions
What is 21/59 as a decimal?
21/59 as a decimal is 0.3559322033898305084745762711864406779661016949152542372881… (the digits 3559322033898305084745762711864406779661016949152542372881 repeat forever), which is 0.36 rounded to 2 decimal places.
Is 21/59 a terminating or a repeating decimal?
It repeats. The bottom number 59 = 59 has a prime factor other than 2 and 5, so the division never ends and the block 3559322033898305084745762711864406779661016949152542372881 (58 digits) repeats.
What is 21/59 as a percent?
21/59 is 35.5932203389830508474576271186440677966101694915254237288135…% as a percent.
How do I round 21/59 to 2 decimal places?
21/59 rounded to 2 decimal places is 0.36.