4/15 as a decimal
4/15 as a decimal is 0.266666… (the digits 6 repeat forever), which is 0.27 rounded to 2 decimal places.
Change either number to try your own. The digits 6 repeat. Rounded to 2 places: 0.27. In lowest terms: 4/15.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 4 by the bottom number 15.
- 2
15 does not go into 4 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 15, and write the digit. A remainder comes back after 2 steps, so the digits 6 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{4}{15} = 0.2\overline{6} \]
\[ \frac{4}{15} = 4 \div 15 \]Long division of 4 by 15
| Step | Remainder × 10 | Divide by 15 | Remainder left |
|---|---|---|---|
| 1 | 40 | 40 ÷ 15 = 2 | 10 |
| 2 | 100 | 100 ÷ 15 = 6 | 10 |
Questions
What is 4/15 as a decimal?
4/15 as a decimal is 0.266666… (the digits 6 repeat forever), which is 0.27 rounded to 2 decimal places.
Is 4/15 a terminating or a repeating decimal?
It repeats. The bottom number 15 = 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 6 (1 digit) repeats.
What is 4/15 as a percent?
4/15 is 26.666666…% as a percent.
How do I round 4/15 to 2 decimal places?
4/15 rounded to 2 decimal places is 0.27.