59/66 as a decimal
59/66 as a decimal is 0.893939… (the digits 93 repeat forever), which is 0.89 rounded to 2 decimal places.
Change either number to try your own. The digits 93 repeat. Rounded to 2 places: 0.89. In lowest terms: 59/66.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 59 by the bottom number 66.
- 2
66 does not go into 59 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 66, and write the digit. A remainder comes back after 3 steps, so the digits 93 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{59}{66} = 0.8\overline{93} \]
\[ \frac{59}{66} = 59 \div 66 \]Long division of 59 by 66
| Step | Remainder × 10 | Divide by 66 | Remainder left |
|---|---|---|---|
| 1 | 590 | 590 ÷ 66 = 8 | 62 |
| 2 | 620 | 620 ÷ 66 = 9 | 26 |
| 3 | 260 | 260 ÷ 66 = 3 | 62 |
Questions
What is 59/66 as a decimal?
59/66 as a decimal is 0.893939… (the digits 93 repeat forever), which is 0.89 rounded to 2 decimal places.
Is 59/66 a terminating or a repeating decimal?
It repeats. The bottom number 66 = 2 × 3 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 93 (2 digits) repeats.
What is 59/66 as a percent?
59/66 is 89.393939…% as a percent.
How do I round 59/66 to 2 decimal places?
59/66 rounded to 2 decimal places is 0.89.