21/47 as a decimal
21/47 as a decimal is 0.4468085106382978723404255319148936170212765957… (the digits 4468085106382978723404255319148936170212765957 repeat forever), which is 0.45 rounded to 2 decimal places.
Change either number to try your own. The digits 4468085106382978723404255319148936170212765957 repeat. Rounded to 2 places: 0.45. In lowest terms: 21/47.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 21 by the bottom number 47.
- 2
47 does not go into 21 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 4468085106382978723404255319148936170212765957 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{21}{47} = 0.\overline{4468085106382978723404255319148936170212765957} \]
\[ \frac{21}{47} = 21 \div 47 \]Long division of 21 by 47
| Step | Remainder × 10 | Divide by 47 | Remainder left |
|---|---|---|---|
| 1 | 210 | 210 ÷ 47 = 4 | 22 |
| 2 | 220 | 220 ÷ 47 = 4 | 32 |
| 3 | 320 | 320 ÷ 47 = 6 | 38 |
| 4 | 380 | 380 ÷ 47 = 8 | 4 |
| 5 | 40 | 40 ÷ 47 = 0 | 40 |
| 6 | 400 | 400 ÷ 47 = 8 | 24 |
| 7 | 240 | 240 ÷ 47 = 5 | 5 |
| 8 | 50 | 50 ÷ 47 = 1 | 3 |
| 9 | 30 | 30 ÷ 47 = 0 | 30 |
| 10 | 300 | 300 ÷ 47 = 6 | 18 |
| 11 | 180 | 180 ÷ 47 = 3 | 39 |
| 12 | 390 | 390 ÷ 47 = 8 | 14 |
Questions
What is 21/47 as a decimal?
21/47 as a decimal is 0.4468085106382978723404255319148936170212765957… (the digits 4468085106382978723404255319148936170212765957 repeat forever), which is 0.45 rounded to 2 decimal places.
Is 21/47 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 4468085106382978723404255319148936170212765957 (46 digits) repeats.
What is 21/47 as a percent?
21/47 is 44.6808510638297872340425531914893617021276595744…% as a percent.
How do I round 21/47 to 2 decimal places?
21/47 rounded to 2 decimal places is 0.45.