36/49 as a decimal
36/49 as a decimal is 0.734693877551020408163265306122448979591836… (the digits 734693877551020408163265306122448979591836 repeat forever), which is 0.73 rounded to 2 decimal places.
Change either number to try your own. The digits 734693877551020408163265306122448979591836 repeat. Rounded to 2 places: 0.73. In lowest terms: 36/49.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 36 by the bottom number 49.
- 2
49 does not go into 36 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 734693877551020408163265306122448979591836 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{36}{49} = 0.\overline{734693877551020408163265306122448979591836} \]
\[ \frac{36}{49} = 36 \div 49 \]Long division of 36 by 49
| Step | Remainder × 10 | Divide by 49 | Remainder left |
|---|---|---|---|
| 1 | 360 | 360 ÷ 49 = 7 | 17 |
| 2 | 170 | 170 ÷ 49 = 3 | 23 |
| 3 | 230 | 230 ÷ 49 = 4 | 34 |
| 4 | 340 | 340 ÷ 49 = 6 | 46 |
| 5 | 460 | 460 ÷ 49 = 9 | 19 |
| 6 | 190 | 190 ÷ 49 = 3 | 43 |
| 7 | 430 | 430 ÷ 49 = 8 | 38 |
| 8 | 380 | 380 ÷ 49 = 7 | 37 |
| 9 | 370 | 370 ÷ 49 = 7 | 27 |
| 10 | 270 | 270 ÷ 49 = 5 | 25 |
| 11 | 250 | 250 ÷ 49 = 5 | 5 |
| 12 | 50 | 50 ÷ 49 = 1 | 1 |
Questions
What is 36/49 as a decimal?
36/49 as a decimal is 0.734693877551020408163265306122448979591836… (the digits 734693877551020408163265306122448979591836 repeat forever), which is 0.73 rounded to 2 decimal places.
Is 36/49 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 734693877551020408163265306122448979591836 (42 digits) repeats.
What is 36/49 as a percent?
36/49 is 73.469387755102040816326530612244897959183673…% as a percent.
How do I round 36/49 to 2 decimal places?
36/49 rounded to 2 decimal places is 0.73.