37/48 as a percent
37/48 as a percent is 77.083333…% (the digits 3 repeat forever), which is 77.08% rounded to 2 decimal places.
Change either number to try your own. The digits 3 repeat. Rounded to 2 places: 77.08%. In lowest terms: 37/48.
See the full steps for these numbersHow to work it out
- 1
Multiply by 100 to get a percent: 37/48 × 100 = 3700/48. Then divide 3700 by 48.
- 2
48 goes into 3700 77 times with 4 left over, so the whole part is 77.
- 3
Long division: bring down a zero each time (multiply the remainder by 10), divide by 48, and write the digit. A remainder comes back after 3 steps, so the digits 3 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{37}{48} = 77.08\overline{3}\% \]
\[ \frac{37}{48} \times 100 = \frac{3700}{48} \]Long division of 3700 by 48
| Step | Remainder × 10 | Divide by 48 | Remainder left |
|---|---|---|---|
| 1 | 40 | 40 ÷ 48 = 0 | 40 |
| 2 | 400 | 400 ÷ 48 = 8 | 16 |
| 3 | 160 | 160 ÷ 48 = 3 | 16 |
Questions
What is 37/48 as a percent?
37/48 as a percent is 77.083333…% (the digits 3 repeat forever), which is 77.08% rounded to 2 decimal places.
Is 37/48 a terminating or a repeating decimal?
It repeats. The bottom number 48 = 2 × 2 × 2 × 2 × 3 has a prime factor other than 2 and 5, so the division never ends and the block 3 (1 digit) repeats.
What is 37/48 as a decimal?
37/48 is 0.770833… as a decimal.
How do I round 37/48 to 2 decimal places?
37/48 rounded to 2 decimal places is 77.08%.