46/77 as a decimal
46/77 as a decimal is 0.597402… (the digits 597402 repeat forever), which is 0.60 rounded to 2 decimal places.
Change either number to try your own. The digits 597402 repeat. Rounded to 2 places: 0.60. In lowest terms: 46/77.
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 77.
- 2
77 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 77, and write the digit. A remainder comes back after 6 steps, so the digits 597402 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{46}{77} = 0.\overline{597402} \]
\[ \frac{46}{77} = 46 \div 77 \]Long division of 46 by 77
| Step | Remainder × 10 | Divide by 77 | Remainder left |
|---|---|---|---|
| 1 | 460 | 460 ÷ 77 = 5 | 75 |
| 2 | 750 | 750 ÷ 77 = 9 | 57 |
| 3 | 570 | 570 ÷ 77 = 7 | 31 |
| 4 | 310 | 310 ÷ 77 = 4 | 2 |
| 5 | 20 | 20 ÷ 77 = 0 | 20 |
| 6 | 200 | 200 ÷ 77 = 2 | 46 |
Questions
What is 46/77 as a decimal?
46/77 as a decimal is 0.597402… (the digits 597402 repeat forever), which is 0.60 rounded to 2 decimal places.
Is 46/77 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 597402 (6 digits) repeats.
What is 46/77 as a percent?
46/77 is 59.740259…% as a percent.
How do I round 46/77 to 2 decimal places?
46/77 rounded to 2 decimal places is 0.60.