17/37 as a decimal
17/37 as a decimal is 0.459459… (the digits 459 repeat forever), which is 0.46 rounded to 2 decimal places.
Change either number to try your own. The digits 459 repeat. Rounded to 2 places: 0.46. In lowest terms: 17/37.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 17 by the bottom number 37.
- 2
37 does not go into 17 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 37, and write the digit. A remainder comes back after 3 steps, so the digits 459 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{17}{37} = 0.\overline{459} \]
\[ \frac{17}{37} = 17 \div 37 \]Long division of 17 by 37
| Step | Remainder × 10 | Divide by 37 | Remainder left |
|---|---|---|---|
| 1 | 170 | 170 ÷ 37 = 4 | 22 |
| 2 | 220 | 220 ÷ 37 = 5 | 35 |
| 3 | 350 | 350 ÷ 37 = 9 | 17 |
Questions
What is 17/37 as a decimal?
17/37 as a decimal is 0.459459… (the digits 459 repeat forever), which is 0.46 rounded to 2 decimal places.
Is 17/37 a terminating or a repeating decimal?
It repeats. The bottom number 37 = 37 has a prime factor other than 2 and 5, so the division never ends and the block 459 (3 digits) repeats.
What is 17/37 as a percent?
17/37 is 45.945945…% as a percent.
How do I round 17/37 to 2 decimal places?
17/37 rounded to 2 decimal places is 0.46.