42/89 as a decimal
42/89 as a decimal is 0.47191011235955056179775280898876404494382022… (the digits 47191011235955056179775280898876404494382022 repeat forever), which is 0.47 rounded to 2 decimal places.
Change either number to try your own. The digits 47191011235955056179775280898876404494382022 repeat. Rounded to 2 places: 0.47. In lowest terms: 42/89.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 42 by the bottom number 89.
- 2
89 does not go into 42 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 89, and write the digit. A remainder comes back after 44 steps, so the digits 47191011235955056179775280898876404494382022 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{42}{89} = 0.\overline{47191011235955056179775280898876404494382022} \]
\[ \frac{42}{89} = 42 \div 89 \]Long division of 42 by 89
| Step | Remainder × 10 | Divide by 89 | Remainder left |
|---|---|---|---|
| 1 | 420 | 420 ÷ 89 = 4 | 64 |
| 2 | 640 | 640 ÷ 89 = 7 | 17 |
| 3 | 170 | 170 ÷ 89 = 1 | 81 |
| 4 | 810 | 810 ÷ 89 = 9 | 9 |
| 5 | 90 | 90 ÷ 89 = 1 | 1 |
| 6 | 10 | 10 ÷ 89 = 0 | 10 |
| 7 | 100 | 100 ÷ 89 = 1 | 11 |
| 8 | 110 | 110 ÷ 89 = 1 | 21 |
| 9 | 210 | 210 ÷ 89 = 2 | 32 |
| 10 | 320 | 320 ÷ 89 = 3 | 53 |
| 11 | 530 | 530 ÷ 89 = 5 | 85 |
| 12 | 850 | 850 ÷ 89 = 9 | 49 |
Questions
What is 42/89 as a decimal?
42/89 as a decimal is 0.47191011235955056179775280898876404494382022… (the digits 47191011235955056179775280898876404494382022 repeat forever), which is 0.47 rounded to 2 decimal places.
Is 42/89 a terminating or a repeating decimal?
It repeats. The bottom number 89 = 89 has a prime factor other than 2 and 5, so the division never ends and the block 47191011235955056179775280898876404494382022 (44 digits) repeats.
What is 42/89 as a percent?
42/89 is 47.19101123595505617977528089887640449438202247…% as a percent.
How do I round 42/89 to 2 decimal places?
42/89 rounded to 2 decimal places is 0.47.