53/79 as a decimal
53/79 as a decimal is 0.6708860759493… (the digits 6708860759493 repeat forever), which is 0.67 rounded to 2 decimal places.
Change either number to try your own. The digits 6708860759493 repeat. Rounded to 2 places: 0.67. In lowest terms: 53/79.
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 79.
- 2
79 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 79, and write the digit. A remainder comes back after 13 steps, so the digits 6708860759493 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{53}{79} = 0.\overline{6708860759493} \]
\[ \frac{53}{79} = 53 \div 79 \]Long division of 53 by 79
| Step | Remainder × 10 | Divide by 79 | Remainder left |
|---|---|---|---|
| 1 | 530 | 530 ÷ 79 = 6 | 56 |
| 2 | 560 | 560 ÷ 79 = 7 | 7 |
| 3 | 70 | 70 ÷ 79 = 0 | 70 |
| 4 | 700 | 700 ÷ 79 = 8 | 68 |
| 5 | 680 | 680 ÷ 79 = 8 | 48 |
| 6 | 480 | 480 ÷ 79 = 6 | 6 |
| 7 | 60 | 60 ÷ 79 = 0 | 60 |
| 8 | 600 | 600 ÷ 79 = 7 | 47 |
| 9 | 470 | 470 ÷ 79 = 5 | 75 |
| 10 | 750 | 750 ÷ 79 = 9 | 39 |
| 11 | 390 | 390 ÷ 79 = 4 | 74 |
| 12 | 740 | 740 ÷ 79 = 9 | 29 |
Questions
What is 53/79 as a decimal?
53/79 as a decimal is 0.6708860759493… (the digits 6708860759493 repeat forever), which is 0.67 rounded to 2 decimal places.
Is 53/79 a terminating or a repeating decimal?
It repeats. The bottom number 79 = 79 has a prime factor other than 2 and 5, so the division never ends and the block 6708860759493 (13 digits) repeats.
What is 53/79 as a percent?
53/79 is 67.0886075949367…% as a percent.
How do I round 53/79 to 2 decimal places?
53/79 rounded to 2 decimal places is 0.67.