45/76 as a decimal
45/76 as a decimal is 0.59210526315789473684… (the digits 210526315789473684 repeat forever), which is 0.59 rounded to 2 decimal places.
Change either number to try your own. The digits 210526315789473684 repeat. Rounded to 2 places: 0.59. In lowest terms: 45/76.
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 76.
- 2
76 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 76, and write the digit. A remainder comes back after 20 steps, so the digits 210526315789473684 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{45}{76} = 0.59\overline{210526315789473684} \]
\[ \frac{45}{76} = 45 \div 76 \]Long division of 45 by 76
| Step | Remainder × 10 | Divide by 76 | Remainder left |
|---|---|---|---|
| 1 | 450 | 450 ÷ 76 = 5 | 70 |
| 2 | 700 | 700 ÷ 76 = 9 | 16 |
| 3 | 160 | 160 ÷ 76 = 2 | 8 |
| 4 | 80 | 80 ÷ 76 = 1 | 4 |
| 5 | 40 | 40 ÷ 76 = 0 | 40 |
| 6 | 400 | 400 ÷ 76 = 5 | 20 |
| 7 | 200 | 200 ÷ 76 = 2 | 48 |
| 8 | 480 | 480 ÷ 76 = 6 | 24 |
| 9 | 240 | 240 ÷ 76 = 3 | 12 |
| 10 | 120 | 120 ÷ 76 = 1 | 44 |
| 11 | 440 | 440 ÷ 76 = 5 | 60 |
| 12 | 600 | 600 ÷ 76 = 7 | 68 |
Questions
What is 45/76 as a decimal?
45/76 as a decimal is 0.59210526315789473684… (the digits 210526315789473684 repeat forever), which is 0.59 rounded to 2 decimal places.
Is 45/76 a terminating or a repeating decimal?
It repeats. The bottom number 76 = 2 × 2 × 19 has a prime factor other than 2 and 5, so the division never ends and the block 210526315789473684 (18 digits) repeats.
What is 45/76 as a percent?
45/76 is 59.210526315789473684…% as a percent.
How do I round 45/76 to 2 decimal places?
45/76 rounded to 2 decimal places is 0.59.