7/48 as a decimal
7/48 as a decimal is 0.145833… (the digits 3 repeat forever), which is 0.15 rounded to 2 decimal places.
Change either number to try your own. The digits 3 repeat. Rounded to 2 places: 0.15. In lowest terms: 7/48.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 7 by the bottom number 48.
- 2
48 does not go into 7 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
\[ \frac{7}{48} = 0.1458\overline{3} \]
\[ \frac{7}{48} = 7 \div 48 \]Long division of 7 by 48
| Step | Remainder × 10 | Divide by 48 | Remainder left |
|---|---|---|---|
| 1 | 70 | 70 ÷ 48 = 1 | 22 |
| 2 | 220 | 220 ÷ 48 = 4 | 28 |
| 3 | 280 | 280 ÷ 48 = 5 | 40 |
| 4 | 400 | 400 ÷ 48 = 8 | 16 |
| 5 | 160 | 160 ÷ 48 = 3 | 16 |
Questions
What is 7/48 as a decimal?
7/48 as a decimal is 0.145833… (the digits 3 repeat forever), which is 0.15 rounded to 2 decimal places.
Is 7/48 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 7/48 as a percent?
7/48 is 14.583333…% as a percent.
How do I round 7/48 to 2 decimal places?
7/48 rounded to 2 decimal places is 0.15.