45/52 as a decimal
45/52 as a decimal is 0.86538461… (the digits 538461 repeat forever), which is 0.87 rounded to 2 decimal places.
Change either number to try your own. The digits 538461 repeat. Rounded to 2 places: 0.87. In lowest terms: 45/52.
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 52.
- 2
52 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 52, and write the digit. A remainder comes back after 8 steps, so the digits 538461 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{45}{52} = 0.86\overline{538461} \]
\[ \frac{45}{52} = 45 \div 52 \]Long division of 45 by 52
| Step | Remainder × 10 | Divide by 52 | Remainder left |
|---|---|---|---|
| 1 | 450 | 450 ÷ 52 = 8 | 34 |
| 2 | 340 | 340 ÷ 52 = 6 | 28 |
| 3 | 280 | 280 ÷ 52 = 5 | 20 |
| 4 | 200 | 200 ÷ 52 = 3 | 44 |
| 5 | 440 | 440 ÷ 52 = 8 | 24 |
| 6 | 240 | 240 ÷ 52 = 4 | 32 |
| 7 | 320 | 320 ÷ 52 = 6 | 8 |
| 8 | 80 | 80 ÷ 52 = 1 | 28 |
Questions
What is 45/52 as a decimal?
45/52 as a decimal is 0.86538461… (the digits 538461 repeat forever), which is 0.87 rounded to 2 decimal places.
Is 45/52 a terminating or a repeating decimal?
It repeats. The bottom number 52 = 2 × 2 × 13 has a prime factor other than 2 and 5, so the division never ends and the block 538461 (6 digits) repeats.
What is 45/52 as a percent?
45/52 is 86.538461…% as a percent.
How do I round 45/52 to 2 decimal places?
45/52 rounded to 2 decimal places is 0.87.