31/73 as a decimal
31/73 as a decimal is 0.42465753… (the digits 42465753 repeat forever), which is 0.42 rounded to 2 decimal places.
Change either number to try your own. The digits 42465753 repeat. Rounded to 2 places: 0.42. In lowest terms: 31/73.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 31 by the bottom number 73.
- 2
73 does not go into 31 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 42465753 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{73} = 0.\overline{42465753} \]
\[ \frac{31}{73} = 31 \div 73 \]Long division of 31 by 73
| Step | Remainder × 10 | Divide by 73 | Remainder left |
|---|---|---|---|
| 1 | 310 | 310 ÷ 73 = 4 | 18 |
| 2 | 180 | 180 ÷ 73 = 2 | 34 |
| 3 | 340 | 340 ÷ 73 = 4 | 48 |
| 4 | 480 | 480 ÷ 73 = 6 | 42 |
| 5 | 420 | 420 ÷ 73 = 5 | 55 |
| 6 | 550 | 550 ÷ 73 = 7 | 39 |
| 7 | 390 | 390 ÷ 73 = 5 | 25 |
| 8 | 250 | 250 ÷ 73 = 3 | 31 |
Questions
What is 31/73 as a decimal?
31/73 as a decimal is 0.42465753… (the digits 42465753 repeat forever), which is 0.42 rounded to 2 decimal places.
Is 31/73 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 42465753 (8 digits) repeats.
What is 31/73 as a percent?
31/73 is 42.46575342…% as a percent.
How do I round 31/73 to 2 decimal places?
31/73 rounded to 2 decimal places is 0.42.