45/71 as a decimal
45/71 as a decimal is 0.63380281690140845070422535211267605… (the digits 63380281690140845070422535211267605 repeat forever), which is 0.63 rounded to 2 decimal places.
Change either number to try your own. The digits 63380281690140845070422535211267605 repeat. Rounded to 2 places: 0.63. In lowest terms: 45/71.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 45 by the bottom number 71.
- 2
71 does not go into 45 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 63380281690140845070422535211267605 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{45}{71} = 0.\overline{63380281690140845070422535211267605} \]
\[ \frac{45}{71} = 45 \div 71 \]Long division of 45 by 71
| Step | Remainder × 10 | Divide by 71 | Remainder left |
|---|---|---|---|
| 1 | 450 | 450 ÷ 71 = 6 | 24 |
| 2 | 240 | 240 ÷ 71 = 3 | 27 |
| 3 | 270 | 270 ÷ 71 = 3 | 57 |
| 4 | 570 | 570 ÷ 71 = 8 | 2 |
| 5 | 20 | 20 ÷ 71 = 0 | 20 |
| 6 | 200 | 200 ÷ 71 = 2 | 58 |
| 7 | 580 | 580 ÷ 71 = 8 | 12 |
| 8 | 120 | 120 ÷ 71 = 1 | 49 |
| 9 | 490 | 490 ÷ 71 = 6 | 64 |
| 10 | 640 | 640 ÷ 71 = 9 | 1 |
| 11 | 10 | 10 ÷ 71 = 0 | 10 |
| 12 | 100 | 100 ÷ 71 = 1 | 29 |
Questions
What is 45/71 as a decimal?
45/71 as a decimal is 0.63380281690140845070422535211267605… (the digits 63380281690140845070422535211267605 repeat forever), which is 0.63 rounded to 2 decimal places.
Is 45/71 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 63380281690140845070422535211267605 (35 digits) repeats.
What is 45/71 as a percent?
45/71 is 63.38028169014084507042253521126760563…% as a percent.
How do I round 45/71 to 2 decimal places?
45/71 rounded to 2 decimal places is 0.63.