13/85 as a decimal
13/85 as a decimal is 0.15294117647058823… (the digits 5294117647058823 repeat forever), which is 0.15 rounded to 2 decimal places.
Change either number to try your own. The digits 5294117647058823 repeat. Rounded to 2 places: 0.15. In lowest terms: 13/85.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 13 by the bottom number 85.
- 2
85 does not go into 13 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 85, and write the digit. A remainder comes back after 17 steps, so the digits 5294117647058823 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{85} = 0.1\overline{5294117647058823} \]
\[ \frac{13}{85} = 13 \div 85 \]Long division of 13 by 85
| Step | Remainder × 10 | Divide by 85 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 85 = 1 | 45 |
| 2 | 450 | 450 ÷ 85 = 5 | 25 |
| 3 | 250 | 250 ÷ 85 = 2 | 80 |
| 4 | 800 | 800 ÷ 85 = 9 | 35 |
| 5 | 350 | 350 ÷ 85 = 4 | 10 |
| 6 | 100 | 100 ÷ 85 = 1 | 15 |
| 7 | 150 | 150 ÷ 85 = 1 | 65 |
| 8 | 650 | 650 ÷ 85 = 7 | 55 |
| 9 | 550 | 550 ÷ 85 = 6 | 40 |
| 10 | 400 | 400 ÷ 85 = 4 | 60 |
| 11 | 600 | 600 ÷ 85 = 7 | 5 |
| 12 | 50 | 50 ÷ 85 = 0 | 50 |
Questions
What is 13/85 as a decimal?
13/85 as a decimal is 0.15294117647058823… (the digits 5294117647058823 repeat forever), which is 0.15 rounded to 2 decimal places.
Is 13/85 a terminating or a repeating decimal?
It repeats. The bottom number 85 = 5 × 17 has a prime factor other than 2 and 5, so the division never ends and the block 5294117647058823 (16 digits) repeats.
What is 13/85 as a percent?
13/85 is 15.2941176470588235…% as a percent.
How do I round 13/85 to 2 decimal places?
13/85 rounded to 2 decimal places is 0.15.