3/26 as a decimal
3/26 as a decimal is 0.1153846… (the digits 153846 repeat forever), which is 0.12 rounded to 2 decimal places.
Change either number to try your own. The digits 153846 repeat. Rounded to 2 places: 0.12. In lowest terms: 3/26.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 3 by the bottom number 26.
- 2
26 does not go into 3 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 153846 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{3}{26} = 0.1\overline{153846} \]
\[ \frac{3}{26} = 3 \div 26 \]Long division of 3 by 26
| Step | Remainder × 10 | Divide by 26 | Remainder left |
|---|---|---|---|
| 1 | 30 | 30 ÷ 26 = 1 | 4 |
| 2 | 40 | 40 ÷ 26 = 1 | 14 |
| 3 | 140 | 140 ÷ 26 = 5 | 10 |
| 4 | 100 | 100 ÷ 26 = 3 | 22 |
| 5 | 220 | 220 ÷ 26 = 8 | 12 |
| 6 | 120 | 120 ÷ 26 = 4 | 16 |
| 7 | 160 | 160 ÷ 26 = 6 | 4 |
Questions
What is 3/26 as a decimal?
3/26 as a decimal is 0.1153846… (the digits 153846 repeat forever), which is 0.12 rounded to 2 decimal places.
Is 3/26 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 153846 (6 digits) repeats.
What is 3/26 as a percent?
3/26 is 11.538461…% as a percent.
How do I round 3/26 to 2 decimal places?
3/26 rounded to 2 decimal places is 0.12.