45/59 as a decimal
45/59 as a decimal is 0.7627118644067796610169491525423728813559322033898305084745… (the digits 7627118644067796610169491525423728813559322033898305084745 repeat forever), which is 0.76 rounded to 2 decimal places.
Change either number to try your own. The digits 7627118644067796610169491525423728813559322033898305084745 repeat. Rounded to 2 places: 0.76. In lowest terms: 45/59.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 45 by the bottom number 59.
- 2
59 does not go into 45 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 7627118644067796610169491525423728813559322033898305084745 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{45}{59} = 0.\overline{7627118644067796610169491525423728813559322033898305084745} \]
\[ \frac{45}{59} = 45 \div 59 \]Long division of 45 by 59
| Step | Remainder × 10 | Divide by 59 | Remainder left |
|---|---|---|---|
| 1 | 450 | 450 ÷ 59 = 7 | 37 |
| 2 | 370 | 370 ÷ 59 = 6 | 16 |
| 3 | 160 | 160 ÷ 59 = 2 | 42 |
| 4 | 420 | 420 ÷ 59 = 7 | 7 |
| 5 | 70 | 70 ÷ 59 = 1 | 11 |
| 6 | 110 | 110 ÷ 59 = 1 | 51 |
| 7 | 510 | 510 ÷ 59 = 8 | 38 |
| 8 | 380 | 380 ÷ 59 = 6 | 26 |
| 9 | 260 | 260 ÷ 59 = 4 | 24 |
| 10 | 240 | 240 ÷ 59 = 4 | 4 |
| 11 | 40 | 40 ÷ 59 = 0 | 40 |
| 12 | 400 | 400 ÷ 59 = 6 | 46 |
Questions
What is 45/59 as a decimal?
45/59 as a decimal is 0.7627118644067796610169491525423728813559322033898305084745… (the digits 7627118644067796610169491525423728813559322033898305084745 repeat forever), which is 0.76 rounded to 2 decimal places.
Is 45/59 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 7627118644067796610169491525423728813559322033898305084745 (58 digits) repeats.
What is 45/59 as a percent?
45/59 is 76.2711864406779661016949152542372881355932203389830508474576…% as a percent.
How do I round 45/59 to 2 decimal places?
45/59 rounded to 2 decimal places is 0.76.