8/75 as a decimal
8/75 as a decimal is 0.106666… (the digits 6 repeat forever), which is 0.11 rounded to 2 decimal places.
Change either number to try your own. The digits 6 repeat. Rounded to 2 places: 0.11. In lowest terms: 8/75.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 8 by the bottom number 75.
- 2
75 does not go into 8 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 75, and write the digit. A remainder comes back after 3 steps, so the digits 6 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{8}{75} = 0.10\overline{6} \]
\[ \frac{8}{75} = 8 \div 75 \]Long division of 8 by 75
| Step | Remainder × 10 | Divide by 75 | Remainder left |
|---|---|---|---|
| 1 | 80 | 80 ÷ 75 = 1 | 5 |
| 2 | 50 | 50 ÷ 75 = 0 | 50 |
| 3 | 500 | 500 ÷ 75 = 6 | 50 |
Questions
What is 8/75 as a decimal?
8/75 as a decimal is 0.106666… (the digits 6 repeat forever), which is 0.11 rounded to 2 decimal places.
Is 8/75 a terminating or a repeating decimal?
It repeats. The bottom number 75 = 3 × 5 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 6 (1 digit) repeats.
What is 8/75 as a percent?
8/75 is 10.666666…% as a percent.
How do I round 8/75 to 2 decimal places?
8/75 rounded to 2 decimal places is 0.11.