71/84 as a decimal
71/84 as a decimal is 0.84523809… (the digits 523809 repeat forever), which is 0.85 rounded to 2 decimal places.
Change either number to try your own. The digits 523809 repeat. Rounded to 2 places: 0.85. In lowest terms: 71/84.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 71 by the bottom number 84.
- 2
84 does not go into 71 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 84, and write the digit. A remainder comes back after 8 steps, so the digits 523809 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{71}{84} = 0.84\overline{523809} \]
\[ \frac{71}{84} = 71 \div 84 \]Long division of 71 by 84
| Step | Remainder × 10 | Divide by 84 | Remainder left |
|---|---|---|---|
| 1 | 710 | 710 ÷ 84 = 8 | 38 |
| 2 | 380 | 380 ÷ 84 = 4 | 44 |
| 3 | 440 | 440 ÷ 84 = 5 | 20 |
| 4 | 200 | 200 ÷ 84 = 2 | 32 |
| 5 | 320 | 320 ÷ 84 = 3 | 68 |
| 6 | 680 | 680 ÷ 84 = 8 | 8 |
| 7 | 80 | 80 ÷ 84 = 0 | 80 |
| 8 | 800 | 800 ÷ 84 = 9 | 44 |
Questions
What is 71/84 as a decimal?
71/84 as a decimal is 0.84523809… (the digits 523809 repeat forever), which is 0.85 rounded to 2 decimal places.
Is 71/84 a terminating or a repeating decimal?
It repeats. The bottom number 84 = 2 × 2 × 3 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 523809 (6 digits) repeats.
What is 71/84 as a percent?
71/84 is 84.523809…% as a percent.
How do I round 71/84 to 2 decimal places?
71/84 rounded to 2 decimal places is 0.85.