49/55 as a decimal
49/55 as a decimal is 0.890909… (the digits 90 repeat forever), which is 0.89 rounded to 2 decimal places.
Change either number to try your own. The digits 90 repeat. Rounded to 2 places: 0.89. In lowest terms: 49/55.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 49 by the bottom number 55.
- 2
55 does not go into 49 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 55, and write the digit. A remainder comes back after 3 steps, so the digits 90 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{49}{55} = 0.8\overline{90} \]
\[ \frac{49}{55} = 49 \div 55 \]Long division of 49 by 55
| Step | Remainder × 10 | Divide by 55 | Remainder left |
|---|---|---|---|
| 1 | 490 | 490 ÷ 55 = 8 | 50 |
| 2 | 500 | 500 ÷ 55 = 9 | 5 |
| 3 | 50 | 50 ÷ 55 = 0 | 50 |
Questions
What is 49/55 as a decimal?
49/55 as a decimal is 0.890909… (the digits 90 repeat forever), which is 0.89 rounded to 2 decimal places.
Is 49/55 a terminating or a repeating decimal?
It repeats. The bottom number 55 = 5 × 11 has a prime factor other than 2 and 5, so the division never ends and the block 90 (2 digits) repeats.
What is 49/55 as a percent?
49/55 is 89.090909…% as a percent.
How do I round 49/55 to 2 decimal places?
49/55 rounded to 2 decimal places is 0.89.