59/60 as a decimal
59/60 as a decimal is 0.983333… (the digits 3 repeat forever), which is 0.98 rounded to 2 decimal places.
Change either number to try your own. The digits 3 repeat. Rounded to 2 places: 0.98. In lowest terms: 59/60.
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 60.
- 2
60 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 60, and write the digit. A remainder comes back after 3 steps, so the digits 3 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{59}{60} = 0.98\overline{3} \]
\[ \frac{59}{60} = 59 \div 60 \]Long division of 59 by 60
| Step | Remainder × 10 | Divide by 60 | Remainder left |
|---|---|---|---|
| 1 | 590 | 590 ÷ 60 = 9 | 50 |
| 2 | 500 | 500 ÷ 60 = 8 | 20 |
| 3 | 200 | 200 ÷ 60 = 3 | 20 |
Questions
What is 59/60 as a decimal?
59/60 as a decimal is 0.983333… (the digits 3 repeat forever), which is 0.98 rounded to 2 decimal places.
Is 59/60 a terminating or a repeating decimal?
It repeats. The bottom number 60 = 2 × 2 × 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 3 (1 digit) repeats.
What is 59/60 as a percent?
59/60 is 98.333333…% as a percent.
How do I round 59/60 to 2 decimal places?
59/60 rounded to 2 decimal places is 0.98.