41/42 as a decimal
41/42 as a decimal is 0.9761904… (the digits 761904 repeat forever), which is 0.98 rounded to 2 decimal places.
Change either number to try your own. The digits 761904 repeat. Rounded to 2 places: 0.98. In lowest terms: 41/42.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 41 by the bottom number 42.
- 2
42 does not go into 41 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 42, and write the digit. A remainder comes back after 7 steps, so the digits 761904 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{41}{42} = 0.9\overline{761904} \]
\[ \frac{41}{42} = 41 \div 42 \]Long division of 41 by 42
| Step | Remainder × 10 | Divide by 42 | Remainder left |
|---|---|---|---|
| 1 | 410 | 410 ÷ 42 = 9 | 32 |
| 2 | 320 | 320 ÷ 42 = 7 | 26 |
| 3 | 260 | 260 ÷ 42 = 6 | 8 |
| 4 | 80 | 80 ÷ 42 = 1 | 38 |
| 5 | 380 | 380 ÷ 42 = 9 | 2 |
| 6 | 20 | 20 ÷ 42 = 0 | 20 |
| 7 | 200 | 200 ÷ 42 = 4 | 32 |
Questions
What is 41/42 as a decimal?
41/42 as a decimal is 0.9761904… (the digits 761904 repeat forever), which is 0.98 rounded to 2 decimal places.
Is 41/42 a terminating or a repeating decimal?
It repeats. The bottom number 42 = 2 × 3 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 761904 (6 digits) repeats.
What is 41/42 as a percent?
41/42 is 97.619047…% as a percent.
How do I round 41/42 to 2 decimal places?
41/42 rounded to 2 decimal places is 0.98.