48/49 as a decimal
48/49 as a decimal is 0.979591836734693877551020408163265306122448… (the digits 979591836734693877551020408163265306122448 repeat forever), which is 0.98 rounded to 2 decimal places.
Change either number to try your own. The digits 979591836734693877551020408163265306122448 repeat. Rounded to 2 places: 0.98. In lowest terms: 48/49.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 48 by the bottom number 49.
- 2
49 does not go into 48 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 979591836734693877551020408163265306122448 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{48}{49} = 0.\overline{979591836734693877551020408163265306122448} \]
\[ \frac{48}{49} = 48 \div 49 \]Long division of 48 by 49
| Step | Remainder × 10 | Divide by 49 | Remainder left |
|---|---|---|---|
| 1 | 480 | 480 ÷ 49 = 9 | 39 |
| 2 | 390 | 390 ÷ 49 = 7 | 47 |
| 3 | 470 | 470 ÷ 49 = 9 | 29 |
| 4 | 290 | 290 ÷ 49 = 5 | 45 |
| 5 | 450 | 450 ÷ 49 = 9 | 9 |
| 6 | 90 | 90 ÷ 49 = 1 | 41 |
| 7 | 410 | 410 ÷ 49 = 8 | 18 |
| 8 | 180 | 180 ÷ 49 = 3 | 33 |
| 9 | 330 | 330 ÷ 49 = 6 | 36 |
| 10 | 360 | 360 ÷ 49 = 7 | 17 |
| 11 | 170 | 170 ÷ 49 = 3 | 23 |
| 12 | 230 | 230 ÷ 49 = 4 | 34 |
Questions
What is 48/49 as a decimal?
48/49 as a decimal is 0.979591836734693877551020408163265306122448… (the digits 979591836734693877551020408163265306122448 repeat forever), which is 0.98 rounded to 2 decimal places.
Is 48/49 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 979591836734693877551020408163265306122448 (42 digits) repeats.
What is 48/49 as a percent?
48/49 is 97.959183673469387755102040816326530612244897…% as a percent.
How do I round 48/49 to 2 decimal places?
48/49 rounded to 2 decimal places is 0.98.