49/66 as a decimal
49/66 as a decimal is 0.742424… (the digits 42 repeat forever), which is 0.74 rounded to 2 decimal places.
Change either number to try your own. The digits 42 repeat. Rounded to 2 places: 0.74. In lowest terms: 49/66.
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 66.
- 2
66 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 66, and write the digit. A remainder comes back after 3 steps, so the digits 42 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{49}{66} = 0.7\overline{42} \]
\[ \frac{49}{66} = 49 \div 66 \]Long division of 49 by 66
| Step | Remainder × 10 | Divide by 66 | Remainder left |
|---|---|---|---|
| 1 | 490 | 490 ÷ 66 = 7 | 28 |
| 2 | 280 | 280 ÷ 66 = 4 | 16 |
| 3 | 160 | 160 ÷ 66 = 2 | 28 |
Questions
What is 49/66 as a decimal?
49/66 as a decimal is 0.742424… (the digits 42 repeat forever), which is 0.74 rounded to 2 decimal places.
Is 49/66 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 42 (2 digits) repeats.
What is 49/66 as a percent?
49/66 is 74.242424…% as a percent.
How do I round 49/66 to 2 decimal places?
49/66 rounded to 2 decimal places is 0.74.