5/49 as a decimal
5/49 as a decimal is 0.102040816326530612244897959183673469387755… (the digits 102040816326530612244897959183673469387755 repeat forever), which is 0.10 rounded to 2 decimal places.
Change either number to try your own. The digits 102040816326530612244897959183673469387755 repeat. Rounded to 2 places: 0.10. In lowest terms: 5/49.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 5 by the bottom number 49.
- 2
49 does not go into 5 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 102040816326530612244897959183673469387755 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{5}{49} = 0.\overline{102040816326530612244897959183673469387755} \]
\[ \frac{5}{49} = 5 \div 49 \]Long division of 5 by 49
| Step | Remainder × 10 | Divide by 49 | Remainder left |
|---|---|---|---|
| 1 | 50 | 50 ÷ 49 = 1 | 1 |
| 2 | 10 | 10 ÷ 49 = 0 | 10 |
| 3 | 100 | 100 ÷ 49 = 2 | 2 |
| 4 | 20 | 20 ÷ 49 = 0 | 20 |
| 5 | 200 | 200 ÷ 49 = 4 | 4 |
| 6 | 40 | 40 ÷ 49 = 0 | 40 |
| 7 | 400 | 400 ÷ 49 = 8 | 8 |
| 8 | 80 | 80 ÷ 49 = 1 | 31 |
| 9 | 310 | 310 ÷ 49 = 6 | 16 |
| 10 | 160 | 160 ÷ 49 = 3 | 13 |
| 11 | 130 | 130 ÷ 49 = 2 | 32 |
| 12 | 320 | 320 ÷ 49 = 6 | 26 |
Questions
What is 5/49 as a decimal?
5/49 as a decimal is 0.102040816326530612244897959183673469387755… (the digits 102040816326530612244897959183673469387755 repeat forever), which is 0.10 rounded to 2 decimal places.
Is 5/49 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 102040816326530612244897959183673469387755 (42 digits) repeats.
What is 5/49 as a percent?
5/49 is 10.204081632653061224489795918367346938775510…% as a percent.
How do I round 5/49 to 2 decimal places?
5/49 rounded to 2 decimal places is 0.10.