55/56 as a decimal
55/56 as a decimal is 0.982142857… (the digits 142857 repeat forever), which is 0.98 rounded to 2 decimal places.
Change either number to try your own. The digits 142857 repeat. Rounded to 2 places: 0.98. In lowest terms: 55/56.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 55 by the bottom number 56.
- 2
56 does not go into 55 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 56, and write the digit. A remainder comes back after 9 steps, so the digits 142857 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{55}{56} = 0.982\overline{142857} \]
\[ \frac{55}{56} = 55 \div 56 \]Long division of 55 by 56
| Step | Remainder × 10 | Divide by 56 | Remainder left |
|---|---|---|---|
| 1 | 550 | 550 ÷ 56 = 9 | 46 |
| 2 | 460 | 460 ÷ 56 = 8 | 12 |
| 3 | 120 | 120 ÷ 56 = 2 | 8 |
| 4 | 80 | 80 ÷ 56 = 1 | 24 |
| 5 | 240 | 240 ÷ 56 = 4 | 16 |
| 6 | 160 | 160 ÷ 56 = 2 | 48 |
| 7 | 480 | 480 ÷ 56 = 8 | 32 |
| 8 | 320 | 320 ÷ 56 = 5 | 40 |
| 9 | 400 | 400 ÷ 56 = 7 | 8 |
Questions
What is 55/56 as a decimal?
55/56 as a decimal is 0.982142857… (the digits 142857 repeat forever), which is 0.98 rounded to 2 decimal places.
Is 55/56 a terminating or a repeating decimal?
It repeats. The bottom number 56 = 2 × 2 × 2 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 142857 (6 digits) repeats.
What is 55/56 as a percent?
55/56 is 98.2142857…% as a percent.
How do I round 55/56 to 2 decimal places?
55/56 rounded to 2 decimal places is 0.98.