37/49 as a decimal
37/49 as a decimal is 0.755102040816326530612244897959183673469387… (the digits 755102040816326530612244897959183673469387 repeat forever), which is 0.76 rounded to 2 decimal places.
Change either number to try your own. The digits 755102040816326530612244897959183673469387 repeat. Rounded to 2 places: 0.76. In lowest terms: 37/49.
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 49.
- 2
49 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 49, and write the digit. A remainder comes back after 42 steps, so the digits 755102040816326530612244897959183673469387 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{37}{49} = 0.\overline{755102040816326530612244897959183673469387} \]
\[ \frac{37}{49} = 37 \div 49 \]Long division of 37 by 49
| Step | Remainder × 10 | Divide by 49 | Remainder left |
|---|---|---|---|
| 1 | 370 | 370 ÷ 49 = 7 | 27 |
| 2 | 270 | 270 ÷ 49 = 5 | 25 |
| 3 | 250 | 250 ÷ 49 = 5 | 5 |
| 4 | 50 | 50 ÷ 49 = 1 | 1 |
| 5 | 10 | 10 ÷ 49 = 0 | 10 |
| 6 | 100 | 100 ÷ 49 = 2 | 2 |
| 7 | 20 | 20 ÷ 49 = 0 | 20 |
| 8 | 200 | 200 ÷ 49 = 4 | 4 |
| 9 | 40 | 40 ÷ 49 = 0 | 40 |
| 10 | 400 | 400 ÷ 49 = 8 | 8 |
| 11 | 80 | 80 ÷ 49 = 1 | 31 |
| 12 | 310 | 310 ÷ 49 = 6 | 16 |
Questions
What is 37/49 as a decimal?
37/49 as a decimal is 0.755102040816326530612244897959183673469387… (the digits 755102040816326530612244897959183673469387 repeat forever), which is 0.76 rounded to 2 decimal places.
Is 37/49 a terminating or a repeating decimal?
It repeats. The bottom number 49 = 7 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 755102040816326530612244897959183673469387 (42 digits) repeats.
What is 37/49 as a percent?
37/49 is 75.510204081632653061224489795918367346938775…% as a percent.
How do I round 37/49 to 2 decimal places?
37/49 rounded to 2 decimal places is 0.76.