37/76 as a decimal
37/76 as a decimal is 0.48684210526315789473… (the digits 684210526315789473 repeat forever), which is 0.49 rounded to 2 decimal places.
Change either number to try your own. The digits 684210526315789473 repeat. Rounded to 2 places: 0.49. In lowest terms: 37/76.
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 76.
- 2
76 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 76, and write the digit. A remainder comes back after 20 steps, so the digits 684210526315789473 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{37}{76} = 0.48\overline{684210526315789473} \]
\[ \frac{37}{76} = 37 \div 76 \]Long division of 37 by 76
| Step | Remainder × 10 | Divide by 76 | Remainder left |
|---|---|---|---|
| 1 | 370 | 370 ÷ 76 = 4 | 66 |
| 2 | 660 | 660 ÷ 76 = 8 | 52 |
| 3 | 520 | 520 ÷ 76 = 6 | 64 |
| 4 | 640 | 640 ÷ 76 = 8 | 32 |
| 5 | 320 | 320 ÷ 76 = 4 | 16 |
| 6 | 160 | 160 ÷ 76 = 2 | 8 |
| 7 | 80 | 80 ÷ 76 = 1 | 4 |
| 8 | 40 | 40 ÷ 76 = 0 | 40 |
| 9 | 400 | 400 ÷ 76 = 5 | 20 |
| 10 | 200 | 200 ÷ 76 = 2 | 48 |
| 11 | 480 | 480 ÷ 76 = 6 | 24 |
| 12 | 240 | 240 ÷ 76 = 3 | 12 |
Questions
What is 37/76 as a decimal?
37/76 as a decimal is 0.48684210526315789473… (the digits 684210526315789473 repeat forever), which is 0.49 rounded to 2 decimal places.
Is 37/76 a terminating or a repeating decimal?
It repeats. The bottom number 76 = 2 × 2 × 19 has a prime factor other than 2 and 5, so the division never ends and the block 684210526315789473 (18 digits) repeats.
What is 37/76 as a percent?
37/76 is 48.684210526315789473…% as a percent.
How do I round 37/76 to 2 decimal places?
37/76 rounded to 2 decimal places is 0.49.