5/98 as a decimal
5/98 as a decimal is 0.0510204081632653061224489795918367346938775… (the digits 510204081632653061224489795918367346938775 repeat forever), which is 0.05 rounded to 2 decimal places.
Change either number to try your own. The digits 510204081632653061224489795918367346938775 repeat. Rounded to 2 places: 0.05. In lowest terms: 5/98.
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 98.
- 2
98 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 98, and write the digit. A remainder comes back after 43 steps, so the digits 510204081632653061224489795918367346938775 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{5}{98} = 0.0\overline{510204081632653061224489795918367346938775} \]
\[ \frac{5}{98} = 5 \div 98 \]Long division of 5 by 98
| Step | Remainder × 10 | Divide by 98 | Remainder left |
|---|---|---|---|
| 1 | 50 | 50 ÷ 98 = 0 | 50 |
| 2 | 500 | 500 ÷ 98 = 5 | 10 |
| 3 | 100 | 100 ÷ 98 = 1 | 2 |
| 4 | 20 | 20 ÷ 98 = 0 | 20 |
| 5 | 200 | 200 ÷ 98 = 2 | 4 |
| 6 | 40 | 40 ÷ 98 = 0 | 40 |
| 7 | 400 | 400 ÷ 98 = 4 | 8 |
| 8 | 80 | 80 ÷ 98 = 0 | 80 |
| 9 | 800 | 800 ÷ 98 = 8 | 16 |
| 10 | 160 | 160 ÷ 98 = 1 | 62 |
| 11 | 620 | 620 ÷ 98 = 6 | 32 |
| 12 | 320 | 320 ÷ 98 = 3 | 26 |
Questions
What is 5/98 as a decimal?
5/98 as a decimal is 0.0510204081632653061224489795918367346938775… (the digits 510204081632653061224489795918367346938775 repeat forever), which is 0.05 rounded to 2 decimal places.
Is 5/98 a terminating or a repeating decimal?
It repeats. The bottom number 98 = 2 × 7 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 510204081632653061224489795918367346938775 (42 digits) repeats.
What is 5/98 as a percent?
5/98 is 5.102040816326530612244897959183673469387755…% as a percent.
How do I round 5/98 to 2 decimal places?
5/98 rounded to 2 decimal places is 0.05.