37/46 as a decimal
37/46 as a decimal is 0.80434782608695652173913… (the digits 0434782608695652173913 repeat forever), which is 0.80 rounded to 2 decimal places.
Change either number to try your own. The digits 0434782608695652173913 repeat. Rounded to 2 places: 0.80. In lowest terms: 37/46.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 37 by the bottom number 46.
- 2
46 does not go into 37 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 0434782608695652173913 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{37}{46} = 0.8\overline{0434782608695652173913} \]
\[ \frac{37}{46} = 37 \div 46 \]Long division of 37 by 46
| Step | Remainder × 10 | Divide by 46 | Remainder left |
|---|---|---|---|
| 1 | 370 | 370 ÷ 46 = 8 | 2 |
| 2 | 20 | 20 ÷ 46 = 0 | 20 |
| 3 | 200 | 200 ÷ 46 = 4 | 16 |
| 4 | 160 | 160 ÷ 46 = 3 | 22 |
| 5 | 220 | 220 ÷ 46 = 4 | 36 |
| 6 | 360 | 360 ÷ 46 = 7 | 38 |
| 7 | 380 | 380 ÷ 46 = 8 | 12 |
| 8 | 120 | 120 ÷ 46 = 2 | 28 |
| 9 | 280 | 280 ÷ 46 = 6 | 4 |
| 10 | 40 | 40 ÷ 46 = 0 | 40 |
| 11 | 400 | 400 ÷ 46 = 8 | 32 |
| 12 | 320 | 320 ÷ 46 = 6 | 44 |
Questions
What is 37/46 as a decimal?
37/46 as a decimal is 0.80434782608695652173913… (the digits 0434782608695652173913 repeat forever), which is 0.80 rounded to 2 decimal places.
Is 37/46 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 0434782608695652173913 (22 digits) repeats.
What is 37/46 as a percent?
37/46 is 80.4347826086956521739130…% as a percent.
How do I round 37/46 to 2 decimal places?
37/46 rounded to 2 decimal places is 0.80.