37/48 as a decimal
37/48 as a decimal is 0.770833… (the digits 3 repeat forever), which is 0.77 rounded to 2 decimal places.
Change either number to try your own. The digits 3 repeat. Rounded to 2 places: 0.77. In lowest terms: 37/48.
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 48.
- 2
48 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 48, and write the digit. A remainder comes back after 5 steps, so the digits 3 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{37}{48} = 0.7708\overline{3} \]
\[ \frac{37}{48} = 37 \div 48 \]Long division of 37 by 48
| Step | Remainder × 10 | Divide by 48 | Remainder left |
|---|---|---|---|
| 1 | 370 | 370 ÷ 48 = 7 | 34 |
| 2 | 340 | 340 ÷ 48 = 7 | 4 |
| 3 | 40 | 40 ÷ 48 = 0 | 40 |
| 4 | 400 | 400 ÷ 48 = 8 | 16 |
| 5 | 160 | 160 ÷ 48 = 3 | 16 |
Questions
What is 37/48 as a decimal?
37/48 as a decimal is 0.770833… (the digits 3 repeat forever), which is 0.77 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 percent?
37/48 is 77.083333…% as a percent.
How do I round 37/48 to 2 decimal places?
37/48 rounded to 2 decimal places is 0.77.