45/77 as a decimal
45/77 as a decimal is 0.584415… (the digits 584415 repeat forever), which is 0.58 rounded to 2 decimal places.
Change either number to try your own. The digits 584415 repeat. Rounded to 2 places: 0.58. In lowest terms: 45/77.
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 77.
- 2
77 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 77, and write the digit. A remainder comes back after 6 steps, so the digits 584415 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{45}{77} = 0.\overline{584415} \]
\[ \frac{45}{77} = 45 \div 77 \]Long division of 45 by 77
| Step | Remainder × 10 | Divide by 77 | Remainder left |
|---|---|---|---|
| 1 | 450 | 450 ÷ 77 = 5 | 65 |
| 2 | 650 | 650 ÷ 77 = 8 | 34 |
| 3 | 340 | 340 ÷ 77 = 4 | 32 |
| 4 | 320 | 320 ÷ 77 = 4 | 12 |
| 5 | 120 | 120 ÷ 77 = 1 | 43 |
| 6 | 430 | 430 ÷ 77 = 5 | 45 |
Questions
What is 45/77 as a decimal?
45/77 as a decimal is 0.584415… (the digits 584415 repeat forever), which is 0.58 rounded to 2 decimal places.
Is 45/77 a terminating or a repeating decimal?
It repeats. The bottom number 77 = 7 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 584415 (6 digits) repeats.
What is 45/77 as a percent?
45/77 is 58.441558…% as a percent.
How do I round 45/77 to 2 decimal places?
45/77 rounded to 2 decimal places is 0.58.