53/59 as a decimal
53/59 as a decimal is 0.8983050847457627118644067796610169491525423728813559322033… (the digits 8983050847457627118644067796610169491525423728813559322033 repeat forever), which is 0.90 rounded to 2 decimal places.
Change either number to try your own. The digits 8983050847457627118644067796610169491525423728813559322033 repeat. Rounded to 2 places: 0.90. In lowest terms: 53/59.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 53 by the bottom number 59.
- 2
59 does not go into 53 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 8983050847457627118644067796610169491525423728813559322033 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{53}{59} = 0.\overline{8983050847457627118644067796610169491525423728813559322033} \]
\[ \frac{53}{59} = 53 \div 59 \]Long division of 53 by 59
| Step | Remainder × 10 | Divide by 59 | Remainder left |
|---|---|---|---|
| 1 | 530 | 530 ÷ 59 = 8 | 58 |
| 2 | 580 | 580 ÷ 59 = 9 | 49 |
| 3 | 490 | 490 ÷ 59 = 8 | 18 |
| 4 | 180 | 180 ÷ 59 = 3 | 3 |
| 5 | 30 | 30 ÷ 59 = 0 | 30 |
| 6 | 300 | 300 ÷ 59 = 5 | 5 |
| 7 | 50 | 50 ÷ 59 = 0 | 50 |
| 8 | 500 | 500 ÷ 59 = 8 | 28 |
| 9 | 280 | 280 ÷ 59 = 4 | 44 |
| 10 | 440 | 440 ÷ 59 = 7 | 27 |
| 11 | 270 | 270 ÷ 59 = 4 | 34 |
| 12 | 340 | 340 ÷ 59 = 5 | 45 |
Questions
What is 53/59 as a decimal?
53/59 as a decimal is 0.8983050847457627118644067796610169491525423728813559322033… (the digits 8983050847457627118644067796610169491525423728813559322033 repeat forever), which is 0.90 rounded to 2 decimal places.
Is 53/59 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 8983050847457627118644067796610169491525423728813559322033 (58 digits) repeats.
What is 53/59 as a percent?
53/59 is 89.8305084745762711864406779661016949152542372881355932203389…% as a percent.
How do I round 53/59 to 2 decimal places?
53/59 rounded to 2 decimal places is 0.90.