48/71 as a decimal
48/71 as a decimal is 0.67605633802816901408450704225352112… (the digits 67605633802816901408450704225352112 repeat forever), which is 0.68 rounded to 2 decimal places.
Change either number to try your own. The digits 67605633802816901408450704225352112 repeat. Rounded to 2 places: 0.68. In lowest terms: 48/71.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 48 by the bottom number 71.
- 2
71 does not go into 48 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 71, and write the digit. A remainder comes back after 35 steps, so the digits 67605633802816901408450704225352112 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{48}{71} = 0.\overline{67605633802816901408450704225352112} \]
\[ \frac{48}{71} = 48 \div 71 \]Long division of 48 by 71
| Step | Remainder × 10 | Divide by 71 | Remainder left |
|---|---|---|---|
| 1 | 480 | 480 ÷ 71 = 6 | 54 |
| 2 | 540 | 540 ÷ 71 = 7 | 43 |
| 3 | 430 | 430 ÷ 71 = 6 | 4 |
| 4 | 40 | 40 ÷ 71 = 0 | 40 |
| 5 | 400 | 400 ÷ 71 = 5 | 45 |
| 6 | 450 | 450 ÷ 71 = 6 | 24 |
| 7 | 240 | 240 ÷ 71 = 3 | 27 |
| 8 | 270 | 270 ÷ 71 = 3 | 57 |
| 9 | 570 | 570 ÷ 71 = 8 | 2 |
| 10 | 20 | 20 ÷ 71 = 0 | 20 |
| 11 | 200 | 200 ÷ 71 = 2 | 58 |
| 12 | 580 | 580 ÷ 71 = 8 | 12 |
Questions
What is 48/71 as a decimal?
48/71 as a decimal is 0.67605633802816901408450704225352112… (the digits 67605633802816901408450704225352112 repeat forever), which is 0.68 rounded to 2 decimal places.
Is 48/71 a terminating or a repeating decimal?
It repeats. The bottom number 71 = 71 has a prime factor other than 2 and 5, so the division never ends and the block 67605633802816901408450704225352112 (35 digits) repeats.
What is 48/71 as a percent?
48/71 is 67.60563380281690140845070422535211267…% as a percent.
How do I round 48/71 to 2 decimal places?
48/71 rounded to 2 decimal places is 0.68.