21/43 as a decimal
21/43 as a decimal is 0.488372093023255813953… (the digits 488372093023255813953 repeat forever), which is 0.49 rounded to 2 decimal places.
Change either number to try your own. The digits 488372093023255813953 repeat. Rounded to 2 places: 0.49. In lowest terms: 21/43.
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 43.
- 2
43 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 43, and write the digit. A remainder comes back after 21 steps, so the digits 488372093023255813953 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{21}{43} = 0.\overline{488372093023255813953} \]
\[ \frac{21}{43} = 21 \div 43 \]Long division of 21 by 43
| Step | Remainder × 10 | Divide by 43 | Remainder left |
|---|---|---|---|
| 1 | 210 | 210 ÷ 43 = 4 | 38 |
| 2 | 380 | 380 ÷ 43 = 8 | 36 |
| 3 | 360 | 360 ÷ 43 = 8 | 16 |
| 4 | 160 | 160 ÷ 43 = 3 | 31 |
| 5 | 310 | 310 ÷ 43 = 7 | 9 |
| 6 | 90 | 90 ÷ 43 = 2 | 4 |
| 7 | 40 | 40 ÷ 43 = 0 | 40 |
| 8 | 400 | 400 ÷ 43 = 9 | 13 |
| 9 | 130 | 130 ÷ 43 = 3 | 1 |
| 10 | 10 | 10 ÷ 43 = 0 | 10 |
| 11 | 100 | 100 ÷ 43 = 2 | 14 |
| 12 | 140 | 140 ÷ 43 = 3 | 11 |
Questions
What is 21/43 as a decimal?
21/43 as a decimal is 0.488372093023255813953… (the digits 488372093023255813953 repeat forever), which is 0.49 rounded to 2 decimal places.
Is 21/43 a terminating or a repeating decimal?
It repeats. The bottom number 43 = 43 has a prime factor other than 2 and 5, so the division never ends and the block 488372093023255813953 (21 digits) repeats.
What is 21/43 as a percent?
21/43 is 48.837209302325581395348…% as a percent.
How do I round 21/43 to 2 decimal places?
21/43 rounded to 2 decimal places is 0.49.