13/74 as a decimal
13/74 as a decimal is 0.175675… (the digits 756 repeat forever), which is 0.18 rounded to 2 decimal places.
Change either number to try your own. The digits 756 repeat. Rounded to 2 places: 0.18. In lowest terms: 13/74.
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 74.
- 2
74 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 74, and write the digit. A remainder comes back after 4 steps, so the digits 756 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{13}{74} = 0.1\overline{756} \]
\[ \frac{13}{74} = 13 \div 74 \]Long division of 13 by 74
| Step | Remainder × 10 | Divide by 74 | Remainder left |
|---|---|---|---|
| 1 | 130 | 130 ÷ 74 = 1 | 56 |
| 2 | 560 | 560 ÷ 74 = 7 | 42 |
| 3 | 420 | 420 ÷ 74 = 5 | 50 |
| 4 | 500 | 500 ÷ 74 = 6 | 56 |
Questions
What is 13/74 as a decimal?
13/74 as a decimal is 0.175675… (the digits 756 repeat forever), which is 0.18 rounded to 2 decimal places.
Is 13/74 a terminating or a repeating decimal?
It repeats. The bottom number 74 = 2 × 37 has a prime factor other than 2 and 5, so the division never ends and the block 756 (3 digits) repeats.
What is 13/74 as a percent?
13/74 is 17.567567…% as a percent.
How do I round 13/74 to 2 decimal places?
13/74 rounded to 2 decimal places is 0.18.