46/47 as a decimal
46/47 as a decimal is 0.9787234042553191489361702127659574468085106382… (the digits 9787234042553191489361702127659574468085106382 repeat forever), which is 0.98 rounded to 2 decimal places.
Change either number to try your own. The digits 9787234042553191489361702127659574468085106382 repeat. Rounded to 2 places: 0.98. In lowest terms: 46/47.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 46 by the bottom number 47.
- 2
47 does not go into 46 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 47, and write the digit. A remainder comes back after 46 steps, so the digits 9787234042553191489361702127659574468085106382 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{46}{47} = 0.\overline{9787234042553191489361702127659574468085106382} \]
\[ \frac{46}{47} = 46 \div 47 \]Long division of 46 by 47
| Step | Remainder × 10 | Divide by 47 | Remainder left |
|---|---|---|---|
| 1 | 460 | 460 ÷ 47 = 9 | 37 |
| 2 | 370 | 370 ÷ 47 = 7 | 41 |
| 3 | 410 | 410 ÷ 47 = 8 | 34 |
| 4 | 340 | 340 ÷ 47 = 7 | 11 |
| 5 | 110 | 110 ÷ 47 = 2 | 16 |
| 6 | 160 | 160 ÷ 47 = 3 | 19 |
| 7 | 190 | 190 ÷ 47 = 4 | 2 |
| 8 | 20 | 20 ÷ 47 = 0 | 20 |
| 9 | 200 | 200 ÷ 47 = 4 | 12 |
| 10 | 120 | 120 ÷ 47 = 2 | 26 |
| 11 | 260 | 260 ÷ 47 = 5 | 25 |
| 12 | 250 | 250 ÷ 47 = 5 | 15 |
Questions
What is 46/47 as a decimal?
46/47 as a decimal is 0.9787234042553191489361702127659574468085106382… (the digits 9787234042553191489361702127659574468085106382 repeat forever), which is 0.98 rounded to 2 decimal places.
Is 46/47 a terminating or a repeating decimal?
It repeats. The bottom number 47 = 47 has a prime factor other than 2 and 5, so the division never ends and the block 9787234042553191489361702127659574468085106382 (46 digits) repeats.
What is 46/47 as a percent?
46/47 is 97.8723404255319148936170212765957446808510638297…% as a percent.
How do I round 46/47 to 2 decimal places?
46/47 rounded to 2 decimal places is 0.98.