49/71 as a decimal
49/71 as a decimal is 0.69014084507042253521126760563380281… (the digits 69014084507042253521126760563380281 repeat forever), which is 0.69 rounded to 2 decimal places.
Change either number to try your own. The digits 69014084507042253521126760563380281 repeat. Rounded to 2 places: 0.69. In lowest terms: 49/71.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 49 by the bottom number 71.
- 2
71 does not go into 49 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 69014084507042253521126760563380281 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{49}{71} = 0.\overline{69014084507042253521126760563380281} \]
\[ \frac{49}{71} = 49 \div 71 \]Long division of 49 by 71
| Step | Remainder × 10 | Divide by 71 | Remainder left |
|---|---|---|---|
| 1 | 490 | 490 ÷ 71 = 6 | 64 |
| 2 | 640 | 640 ÷ 71 = 9 | 1 |
| 3 | 10 | 10 ÷ 71 = 0 | 10 |
| 4 | 100 | 100 ÷ 71 = 1 | 29 |
| 5 | 290 | 290 ÷ 71 = 4 | 6 |
| 6 | 60 | 60 ÷ 71 = 0 | 60 |
| 7 | 600 | 600 ÷ 71 = 8 | 32 |
| 8 | 320 | 320 ÷ 71 = 4 | 36 |
| 9 | 360 | 360 ÷ 71 = 5 | 5 |
| 10 | 50 | 50 ÷ 71 = 0 | 50 |
| 11 | 500 | 500 ÷ 71 = 7 | 3 |
| 12 | 30 | 30 ÷ 71 = 0 | 30 |
Questions
What is 49/71 as a decimal?
49/71 as a decimal is 0.69014084507042253521126760563380281… (the digits 69014084507042253521126760563380281 repeat forever), which is 0.69 rounded to 2 decimal places.
Is 49/71 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 69014084507042253521126760563380281 (35 digits) repeats.
What is 49/71 as a percent?
49/71 is 69.01408450704225352112676056338028169…% as a percent.
How do I round 49/71 to 2 decimal places?
49/71 rounded to 2 decimal places is 0.69.