10/79 as a decimal
10/79 as a decimal is 0.1265822784810… (the digits 1265822784810 repeat forever), which is 0.13 rounded to 2 decimal places.
Change either number to try your own. The digits 1265822784810 repeat. Rounded to 2 places: 0.13. In lowest terms: 10/79.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 10 by the bottom number 79.
- 2
79 does not go into 10 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 1265822784810 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{10}{79} = 0.\overline{1265822784810} \]
\[ \frac{10}{79} = 10 \div 79 \]Long division of 10 by 79
| Step | Remainder × 10 | Divide by 79 | Remainder left |
|---|---|---|---|
| 1 | 100 | 100 ÷ 79 = 1 | 21 |
| 2 | 210 | 210 ÷ 79 = 2 | 52 |
| 3 | 520 | 520 ÷ 79 = 6 | 46 |
| 4 | 460 | 460 ÷ 79 = 5 | 65 |
| 5 | 650 | 650 ÷ 79 = 8 | 18 |
| 6 | 180 | 180 ÷ 79 = 2 | 22 |
| 7 | 220 | 220 ÷ 79 = 2 | 62 |
| 8 | 620 | 620 ÷ 79 = 7 | 67 |
| 9 | 670 | 670 ÷ 79 = 8 | 38 |
| 10 | 380 | 380 ÷ 79 = 4 | 64 |
| 11 | 640 | 640 ÷ 79 = 8 | 8 |
| 12 | 80 | 80 ÷ 79 = 1 | 1 |
Questions
What is 10/79 as a decimal?
10/79 as a decimal is 0.1265822784810… (the digits 1265822784810 repeat forever), which is 0.13 rounded to 2 decimal places.
Is 10/79 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 1265822784810 (13 digits) repeats.
What is 10/79 as a percent?
10/79 is 12.6582278481012…% as a percent.
How do I round 10/79 to 2 decimal places?
10/79 rounded to 2 decimal places is 0.13.