31/45 as a decimal
31/45 as a decimal is 0.688888… (the digits 8 repeat forever), which is 0.69 rounded to 2 decimal places.
Change either number to try your own. The digits 8 repeat. Rounded to 2 places: 0.69. In lowest terms: 31/45.
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 45.
- 2
45 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 45, and write the digit. A remainder comes back after 2 steps, so the digits 8 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{31}{45} = 0.6\overline{8} \]
\[ \frac{31}{45} = 31 \div 45 \]Long division of 31 by 45
| Step | Remainder × 10 | Divide by 45 | Remainder left |
|---|---|---|---|
| 1 | 310 | 310 ÷ 45 = 6 | 40 |
| 2 | 400 | 400 ÷ 45 = 8 | 40 |
Questions
What is 31/45 as a decimal?
31/45 as a decimal is 0.688888… (the digits 8 repeat forever), which is 0.69 rounded to 2 decimal places.
Is 31/45 a terminating or a repeating decimal?
It repeats. The bottom number 45 = 3 × 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 8 (1 digit) repeats.
What is 31/45 as a percent?
31/45 is 68.888888…% as a percent.
How do I round 31/45 to 2 decimal places?
31/45 rounded to 2 decimal places is 0.69.