26/83 as a decimal
26/83 as a decimal is 0.31325301204819277108433734939759036144578… (the digits 31325301204819277108433734939759036144578 repeat forever), which is 0.31 rounded to 2 decimal places.
Change either number to try your own. The digits 31325301204819277108433734939759036144578 repeat. Rounded to 2 places: 0.31. In lowest terms: 26/83.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 26 by the bottom number 83.
- 2
83 does not go into 26 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 83, and write the digit. A remainder comes back after 41 steps, so the digits 31325301204819277108433734939759036144578 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{26}{83} = 0.\overline{31325301204819277108433734939759036144578} \]
\[ \frac{26}{83} = 26 \div 83 \]Long division of 26 by 83
| Step | Remainder × 10 | Divide by 83 | Remainder left |
|---|---|---|---|
| 1 | 260 | 260 ÷ 83 = 3 | 11 |
| 2 | 110 | 110 ÷ 83 = 1 | 27 |
| 3 | 270 | 270 ÷ 83 = 3 | 21 |
| 4 | 210 | 210 ÷ 83 = 2 | 44 |
| 5 | 440 | 440 ÷ 83 = 5 | 25 |
| 6 | 250 | 250 ÷ 83 = 3 | 1 |
| 7 | 10 | 10 ÷ 83 = 0 | 10 |
| 8 | 100 | 100 ÷ 83 = 1 | 17 |
| 9 | 170 | 170 ÷ 83 = 2 | 4 |
| 10 | 40 | 40 ÷ 83 = 0 | 40 |
| 11 | 400 | 400 ÷ 83 = 4 | 68 |
| 12 | 680 | 680 ÷ 83 = 8 | 16 |
Questions
What is 26/83 as a decimal?
26/83 as a decimal is 0.31325301204819277108433734939759036144578… (the digits 31325301204819277108433734939759036144578 repeat forever), which is 0.31 rounded to 2 decimal places.
Is 26/83 a terminating or a repeating decimal?
It repeats. The bottom number 83 = 83 has a prime factor other than 2 and 5, so the division never ends and the block 31325301204819277108433734939759036144578 (41 digits) repeats.
What is 26/83 as a percent?
26/83 is 31.32530120481927710843373493975903614457831…% as a percent.
How do I round 26/83 to 2 decimal places?
26/83 rounded to 2 decimal places is 0.31.