47/48 as a decimal
47/48 as a decimal is 0.979166… (the digits 6 repeat forever), which is 0.98 rounded to 2 decimal places.
Change either number to try your own. The digits 6 repeat. Rounded to 2 places: 0.98. In lowest terms: 47/48.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 47 by the bottom number 48.
- 2
48 does not go into 47 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 6 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{47}{48} = 0.9791\overline{6} \]
\[ \frac{47}{48} = 47 \div 48 \]Long division of 47 by 48
| Step | Remainder × 10 | Divide by 48 | Remainder left |
|---|---|---|---|
| 1 | 470 | 470 ÷ 48 = 9 | 38 |
| 2 | 380 | 380 ÷ 48 = 7 | 44 |
| 3 | 440 | 440 ÷ 48 = 9 | 8 |
| 4 | 80 | 80 ÷ 48 = 1 | 32 |
| 5 | 320 | 320 ÷ 48 = 6 | 32 |
Questions
What is 47/48 as a decimal?
47/48 as a decimal is 0.979166… (the digits 6 repeat forever), which is 0.98 rounded to 2 decimal places.
Is 47/48 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 6 (1 digit) repeats.
What is 47/48 as a percent?
47/48 is 97.916666…% as a percent.
How do I round 47/48 to 2 decimal places?
47/48 rounded to 2 decimal places is 0.98.