7/26 as a decimal
7/26 as a decimal is 0.2692307… (the digits 692307 repeat forever), which is 0.27 rounded to 2 decimal places.
Change either number to try your own. The digits 692307 repeat. Rounded to 2 places: 0.27. In lowest terms: 7/26.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 7 by the bottom number 26.
- 2
26 does not go into 7 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 692307 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{7}{26} = 0.2\overline{692307} \]
\[ \frac{7}{26} = 7 \div 26 \]Long division of 7 by 26
| Step | Remainder × 10 | Divide by 26 | Remainder left |
|---|---|---|---|
| 1 | 70 | 70 ÷ 26 = 2 | 18 |
| 2 | 180 | 180 ÷ 26 = 6 | 24 |
| 3 | 240 | 240 ÷ 26 = 9 | 6 |
| 4 | 60 | 60 ÷ 26 = 2 | 8 |
| 5 | 80 | 80 ÷ 26 = 3 | 2 |
| 6 | 20 | 20 ÷ 26 = 0 | 20 |
| 7 | 200 | 200 ÷ 26 = 7 | 18 |
Questions
What is 7/26 as a decimal?
7/26 as a decimal is 0.2692307… (the digits 692307 repeat forever), which is 0.27 rounded to 2 decimal places.
Is 7/26 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 692307 (6 digits) repeats.
What is 7/26 as a percent?
7/26 is 26.923076…% as a percent.
How do I round 7/26 to 2 decimal places?
7/26 rounded to 2 decimal places is 0.27.