37/38 as a percent
37/38 as a percent is 97.368421052631578947…% (the digits 368421052631578947 repeat forever), which is 97.37% rounded to 2 decimal places.
Change either number to try your own. The digits 368421052631578947 repeat. Rounded to 2 places: 97.37%. In lowest terms: 37/38.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 37/38 × 100 = 3700/38. Then divide 3700 by 38.
- 2
38 goes into 3700 97 times with 14 left over, so the whole part is 97.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 38, and write the digit. A remainder comes back after 18 steps, so the digits 368421052631578947 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{37}{38} = 97.\overline{368421052631578947}\% \]
\[ \frac{37}{38} \times 100 = \frac{3700}{38} \]Long division of 3700 by 38
| Step | Remainder × 10 | Divide by 38 | Remainder left |
|---|---|---|---|
| 1 | 140 | 140 ÷ 38 = 3 | 26 |
| 2 | 260 | 260 ÷ 38 = 6 | 32 |
| 3 | 320 | 320 ÷ 38 = 8 | 16 |
| 4 | 160 | 160 ÷ 38 = 4 | 8 |
| 5 | 80 | 80 ÷ 38 = 2 | 4 |
| 6 | 40 | 40 ÷ 38 = 1 | 2 |
| 7 | 20 | 20 ÷ 38 = 0 | 20 |
| 8 | 200 | 200 ÷ 38 = 5 | 10 |
| 9 | 100 | 100 ÷ 38 = 2 | 24 |
| 10 | 240 | 240 ÷ 38 = 6 | 12 |
| 11 | 120 | 120 ÷ 38 = 3 | 6 |
| 12 | 60 | 60 ÷ 38 = 1 | 22 |
Questions
What is 37/38 as a percent?
37/38 as a percent is 97.368421052631578947…% (the digits 368421052631578947 repeat forever), which is 97.37% rounded to 2 decimal places.
Is 37/38 a terminating or a repeating decimal?
It repeats. The bottom number 38 = 2 × 19 has a prime factor other than 2 and 5, so the division never ends and the block 368421052631578947 (18 digits) repeats.
What is 37/38 as a decimal?
37/38 is 0.9736842105263157894… as a decimal.
How do I round 37/38 to 2 decimal places?
37/38 rounded to 2 decimal places is 97.37%.