6/49 as a decimal
6/49 as a decimal is 0.122448979591836734693877551020408163265306… (the digits 122448979591836734693877551020408163265306 repeat forever), which is 0.12 rounded to 2 decimal places.
Change either number to try your own. The digits 122448979591836734693877551020408163265306 repeat. Rounded to 2 places: 0.12. In lowest terms: 6/49.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 6 by the bottom number 49.
- 2
49 does not go into 6 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 49, and write the digit. A remainder comes back after 42 steps, so the digits 122448979591836734693877551020408163265306 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{6}{49} = 0.\overline{122448979591836734693877551020408163265306} \]
\[ \frac{6}{49} = 6 \div 49 \]Long division of 6 by 49
| Step | Remainder × 10 | Divide by 49 | Remainder left |
|---|---|---|---|
| 1 | 60 | 60 ÷ 49 = 1 | 11 |
| 2 | 110 | 110 ÷ 49 = 2 | 12 |
| 3 | 120 | 120 ÷ 49 = 2 | 22 |
| 4 | 220 | 220 ÷ 49 = 4 | 24 |
| 5 | 240 | 240 ÷ 49 = 4 | 44 |
| 6 | 440 | 440 ÷ 49 = 8 | 48 |
| 7 | 480 | 480 ÷ 49 = 9 | 39 |
| 8 | 390 | 390 ÷ 49 = 7 | 47 |
| 9 | 470 | 470 ÷ 49 = 9 | 29 |
| 10 | 290 | 290 ÷ 49 = 5 | 45 |
| 11 | 450 | 450 ÷ 49 = 9 | 9 |
| 12 | 90 | 90 ÷ 49 = 1 | 41 |
Questions
What is 6/49 as a decimal?
6/49 as a decimal is 0.122448979591836734693877551020408163265306… (the digits 122448979591836734693877551020408163265306 repeat forever), which is 0.12 rounded to 2 decimal places.
Is 6/49 a terminating or a repeating decimal?
It repeats. The bottom number 49 = 7 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 122448979591836734693877551020408163265306 (42 digits) repeats.
What is 6/49 as a percent?
6/49 is 12.244897959183673469387755102040816326530612…% as a percent.
How do I round 6/49 to 2 decimal places?
6/49 rounded to 2 decimal places is 0.12.