45/46 as a decimal
45/46 as a decimal is 0.97826086956521739130434… (the digits 7826086956521739130434 repeat forever), which is 0.98 rounded to 2 decimal places.
Change either number to try your own. The digits 7826086956521739130434 repeat. Rounded to 2 places: 0.98. In lowest terms: 45/46.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 45 by the bottom number 46.
- 2
46 does not go into 45 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 7826086956521739130434 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{45}{46} = 0.9\overline{7826086956521739130434} \]
\[ \frac{45}{46} = 45 \div 46 \]Long division of 45 by 46
| Step | Remainder × 10 | Divide by 46 | Remainder left |
|---|---|---|---|
| 1 | 450 | 450 ÷ 46 = 9 | 36 |
| 2 | 360 | 360 ÷ 46 = 7 | 38 |
| 3 | 380 | 380 ÷ 46 = 8 | 12 |
| 4 | 120 | 120 ÷ 46 = 2 | 28 |
| 5 | 280 | 280 ÷ 46 = 6 | 4 |
| 6 | 40 | 40 ÷ 46 = 0 | 40 |
| 7 | 400 | 400 ÷ 46 = 8 | 32 |
| 8 | 320 | 320 ÷ 46 = 6 | 44 |
| 9 | 440 | 440 ÷ 46 = 9 | 26 |
| 10 | 260 | 260 ÷ 46 = 5 | 30 |
| 11 | 300 | 300 ÷ 46 = 6 | 24 |
| 12 | 240 | 240 ÷ 46 = 5 | 10 |
Questions
What is 45/46 as a decimal?
45/46 as a decimal is 0.97826086956521739130434… (the digits 7826086956521739130434 repeat forever), which is 0.98 rounded to 2 decimal places.
Is 45/46 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 7826086956521739130434 (22 digits) repeats.
What is 45/46 as a percent?
45/46 is 97.8260869565217391304347…% as a percent.
How do I round 45/46 to 2 decimal places?
45/46 rounded to 2 decimal places is 0.98.