37/72 as a decimal
37/72 as a decimal is 0.513888… (the digits 8 repeat forever), which is 0.51 rounded to 2 decimal places.
Change either number to try your own. The digits 8 repeat. Rounded to 2 places: 0.51. In lowest terms: 37/72.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 37 by the bottom number 72.
- 2
72 does not go into 37 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 72, and write the digit. A remainder comes back after 4 steps, so the digits 8 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{37}{72} = 0.513\overline{8} \]
\[ \frac{37}{72} = 37 \div 72 \]Long division of 37 by 72
| Step | Remainder × 10 | Divide by 72 | Remainder left |
|---|---|---|---|
| 1 | 370 | 370 ÷ 72 = 5 | 10 |
| 2 | 100 | 100 ÷ 72 = 1 | 28 |
| 3 | 280 | 280 ÷ 72 = 3 | 64 |
| 4 | 640 | 640 ÷ 72 = 8 | 64 |
Questions
What is 37/72 as a decimal?
37/72 as a decimal is 0.513888… (the digits 8 repeat forever), which is 0.51 rounded to 2 decimal places.
Is 37/72 a terminating or a repeating decimal?
It repeats. The bottom number 72 = 2 × 2 × 2 × 3 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 8 (1 digit) repeats.
What is 37/72 as a percent?
37/72 is 51.388888…% as a percent.
How do I round 37/72 to 2 decimal places?
37/72 rounded to 2 decimal places is 0.51.