49/73 as a decimal
49/73 as a decimal is 0.67123287… (the digits 67123287 repeat forever), which is 0.67 rounded to 2 decimal places.
Change either number to try your own. The digits 67123287 repeat. Rounded to 2 places: 0.67. In lowest terms: 49/73.
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 73.
- 2
73 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 73, and write the digit. A remainder comes back after 8 steps, so the digits 67123287 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{49}{73} = 0.\overline{67123287} \]
\[ \frac{49}{73} = 49 \div 73 \]Long division of 49 by 73
| Step | Remainder × 10 | Divide by 73 | Remainder left |
|---|---|---|---|
| 1 | 490 | 490 ÷ 73 = 6 | 52 |
| 2 | 520 | 520 ÷ 73 = 7 | 9 |
| 3 | 90 | 90 ÷ 73 = 1 | 17 |
| 4 | 170 | 170 ÷ 73 = 2 | 24 |
| 5 | 240 | 240 ÷ 73 = 3 | 21 |
| 6 | 210 | 210 ÷ 73 = 2 | 64 |
| 7 | 640 | 640 ÷ 73 = 8 | 56 |
| 8 | 560 | 560 ÷ 73 = 7 | 49 |
Questions
What is 49/73 as a decimal?
49/73 as a decimal is 0.67123287… (the digits 67123287 repeat forever), which is 0.67 rounded to 2 decimal places.
Is 49/73 a terminating or a repeating decimal?
It repeats. The bottom number 73 = 73 has a prime factor other than 2 and 5, so the division never ends and the block 67123287 (8 digits) repeats.
What is 49/73 as a percent?
49/73 is 67.12328767…% as a percent.
How do I round 49/73 to 2 decimal places?
49/73 rounded to 2 decimal places is 0.67.