46/59 as a decimal
46/59 as a decimal is 0.7796610169491525423728813559322033898305084745762711864406… (the digits 7796610169491525423728813559322033898305084745762711864406 repeat forever), which is 0.78 rounded to 2 decimal places.
Change either number to try your own. The digits 7796610169491525423728813559322033898305084745762711864406 repeat. Rounded to 2 places: 0.78. In lowest terms: 46/59.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 46 by the bottom number 59.
- 2
59 does not go into 46 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 7796610169491525423728813559322033898305084745762711864406 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{46}{59} = 0.\overline{7796610169491525423728813559322033898305084745762711864406} \]
\[ \frac{46}{59} = 46 \div 59 \]Long division of 46 by 59
| Step | Remainder × 10 | Divide by 59 | Remainder left |
|---|---|---|---|
| 1 | 460 | 460 ÷ 59 = 7 | 47 |
| 2 | 470 | 470 ÷ 59 = 7 | 57 |
| 3 | 570 | 570 ÷ 59 = 9 | 39 |
| 4 | 390 | 390 ÷ 59 = 6 | 36 |
| 5 | 360 | 360 ÷ 59 = 6 | 6 |
| 6 | 60 | 60 ÷ 59 = 1 | 1 |
| 7 | 10 | 10 ÷ 59 = 0 | 10 |
| 8 | 100 | 100 ÷ 59 = 1 | 41 |
| 9 | 410 | 410 ÷ 59 = 6 | 56 |
| 10 | 560 | 560 ÷ 59 = 9 | 29 |
| 11 | 290 | 290 ÷ 59 = 4 | 54 |
| 12 | 540 | 540 ÷ 59 = 9 | 9 |
Questions
What is 46/59 as a decimal?
46/59 as a decimal is 0.7796610169491525423728813559322033898305084745762711864406… (the digits 7796610169491525423728813559322033898305084745762711864406 repeat forever), which is 0.78 rounded to 2 decimal places.
Is 46/59 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 7796610169491525423728813559322033898305084745762711864406 (58 digits) repeats.
What is 46/59 as a percent?
46/59 is 77.9661016949152542372881355932203389830508474576271186440677…% as a percent.
How do I round 46/59 to 2 decimal places?
46/59 rounded to 2 decimal places is 0.78.