41/46 as a decimal
41/46 as a decimal is 0.89130434782608695652173… (the digits 9130434782608695652173 repeat forever), which is 0.89 rounded to 2 decimal places.
Change either number to try your own. The digits 9130434782608695652173 repeat. Rounded to 2 places: 0.89. In lowest terms: 41/46.
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 46.
- 2
46 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 46, and write the digit. A remainder comes back after 23 steps, so the digits 9130434782608695652173 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{41}{46} = 0.8\overline{9130434782608695652173} \]
\[ \frac{41}{46} = 41 \div 46 \]Long division of 41 by 46
| Step | Remainder × 10 | Divide by 46 | Remainder left |
|---|---|---|---|
| 1 | 410 | 410 ÷ 46 = 8 | 42 |
| 2 | 420 | 420 ÷ 46 = 9 | 6 |
| 3 | 60 | 60 ÷ 46 = 1 | 14 |
| 4 | 140 | 140 ÷ 46 = 3 | 2 |
| 5 | 20 | 20 ÷ 46 = 0 | 20 |
| 6 | 200 | 200 ÷ 46 = 4 | 16 |
| 7 | 160 | 160 ÷ 46 = 3 | 22 |
| 8 | 220 | 220 ÷ 46 = 4 | 36 |
| 9 | 360 | 360 ÷ 46 = 7 | 38 |
| 10 | 380 | 380 ÷ 46 = 8 | 12 |
| 11 | 120 | 120 ÷ 46 = 2 | 28 |
| 12 | 280 | 280 ÷ 46 = 6 | 4 |
Questions
What is 41/46 as a decimal?
41/46 as a decimal is 0.89130434782608695652173… (the digits 9130434782608695652173 repeat forever), which is 0.89 rounded to 2 decimal places.
Is 41/46 a terminating or a repeating decimal?
It repeats. The bottom number 46 = 2 × 23 has a prime factor other than 2 and 5, so the division never ends and the block 9130434782608695652173 (22 digits) repeats.
What is 41/46 as a percent?
41/46 is 89.1304347826086956521739…% as a percent.
How do I round 41/46 to 2 decimal places?
41/46 rounded to 2 decimal places is 0.89.