7/46 as a decimal
7/46 as a decimal is 0.15217391304347826086956… (the digits 5217391304347826086956 repeat forever), which is 0.15 rounded to 2 decimal places.
Change either number to try your own. The digits 5217391304347826086956 repeat. Rounded to 2 places: 0.15. In lowest terms: 7/46.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 7 by the bottom number 46.
- 2
46 does not go into 7 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 5217391304347826086956 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{7}{46} = 0.1\overline{5217391304347826086956} \]
\[ \frac{7}{46} = 7 \div 46 \]Long division of 7 by 46
| Step | Remainder × 10 | Divide by 46 | Remainder left |
|---|---|---|---|
| 1 | 70 | 70 ÷ 46 = 1 | 24 |
| 2 | 240 | 240 ÷ 46 = 5 | 10 |
| 3 | 100 | 100 ÷ 46 = 2 | 8 |
| 4 | 80 | 80 ÷ 46 = 1 | 34 |
| 5 | 340 | 340 ÷ 46 = 7 | 18 |
| 6 | 180 | 180 ÷ 46 = 3 | 42 |
| 7 | 420 | 420 ÷ 46 = 9 | 6 |
| 8 | 60 | 60 ÷ 46 = 1 | 14 |
| 9 | 140 | 140 ÷ 46 = 3 | 2 |
| 10 | 20 | 20 ÷ 46 = 0 | 20 |
| 11 | 200 | 200 ÷ 46 = 4 | 16 |
| 12 | 160 | 160 ÷ 46 = 3 | 22 |
Questions
What is 7/46 as a decimal?
7/46 as a decimal is 0.15217391304347826086956… (the digits 5217391304347826086956 repeat forever), which is 0.15 rounded to 2 decimal places.
Is 7/46 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 5217391304347826086956 (22 digits) repeats.
What is 7/46 as a percent?
7/46 is 15.2173913043478260869565…% as a percent.
How do I round 7/46 to 2 decimal places?
7/46 rounded to 2 decimal places is 0.15.