25/26 as a decimal
25/26 as a decimal is 0.9615384… (the digits 615384 repeat forever), which is 0.96 rounded to 2 decimal places.
Change either number to try your own. The digits 615384 repeat. Rounded to 2 places: 0.96. In lowest terms: 25/26.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 25 by the bottom number 26.
- 2
26 does not go into 25 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 26, and write the digit. A remainder comes back after 7 steps, so the digits 615384 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{25}{26} = 0.9\overline{615384} \]
\[ \frac{25}{26} = 25 \div 26 \]Long division of 25 by 26
| Step | Remainder × 10 | Divide by 26 | Remainder left |
|---|---|---|---|
| 1 | 250 | 250 ÷ 26 = 9 | 16 |
| 2 | 160 | 160 ÷ 26 = 6 | 4 |
| 3 | 40 | 40 ÷ 26 = 1 | 14 |
| 4 | 140 | 140 ÷ 26 = 5 | 10 |
| 5 | 100 | 100 ÷ 26 = 3 | 22 |
| 6 | 220 | 220 ÷ 26 = 8 | 12 |
| 7 | 120 | 120 ÷ 26 = 4 | 16 |
Questions
What is 25/26 as a decimal?
25/26 as a decimal is 0.9615384… (the digits 615384 repeat forever), which is 0.96 rounded to 2 decimal places.
Is 25/26 a terminating or a repeating decimal?
It repeats. The bottom number 26 = 2 × 13 has a prime factor other than 2 and 5, so the division never ends and the block 615384 (6 digits) repeats.
What is 25/26 as a percent?
25/26 is 96.153846…% as a percent.
How do I round 25/26 to 2 decimal places?
25/26 rounded to 2 decimal places is 0.96.