7/34 as a decimal
7/34 as a decimal is 0.20588235294117647… (the digits 0588235294117647 repeat forever), which is 0.21 rounded to 2 decimal places.
Change either number to try your own. The digits 0588235294117647 repeat. Rounded to 2 places: 0.21. In lowest terms: 7/34.
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 34.
- 2
34 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 34, and write the digit. A remainder comes back after 17 steps, so the digits 0588235294117647 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{7}{34} = 0.2\overline{0588235294117647} \]
\[ \frac{7}{34} = 7 \div 34 \]Long division of 7 by 34
| Step | Remainder × 10 | Divide by 34 | Remainder left |
|---|---|---|---|
| 1 | 70 | 70 ÷ 34 = 2 | 2 |
| 2 | 20 | 20 ÷ 34 = 0 | 20 |
| 3 | 200 | 200 ÷ 34 = 5 | 30 |
| 4 | 300 | 300 ÷ 34 = 8 | 28 |
| 5 | 280 | 280 ÷ 34 = 8 | 8 |
| 6 | 80 | 80 ÷ 34 = 2 | 12 |
| 7 | 120 | 120 ÷ 34 = 3 | 18 |
| 8 | 180 | 180 ÷ 34 = 5 | 10 |
| 9 | 100 | 100 ÷ 34 = 2 | 32 |
| 10 | 320 | 320 ÷ 34 = 9 | 14 |
| 11 | 140 | 140 ÷ 34 = 4 | 4 |
| 12 | 40 | 40 ÷ 34 = 1 | 6 |
Questions
What is 7/34 as a decimal?
7/34 as a decimal is 0.20588235294117647… (the digits 0588235294117647 repeat forever), which is 0.21 rounded to 2 decimal places.
Is 7/34 a terminating or a repeating decimal?
It repeats. The bottom number 34 = 2 × 17 has a prime factor other than 2 and 5, so the division never ends and the block 0588235294117647 (16 digits) repeats.
What is 7/34 as a percent?
7/34 is 20.5882352941176470…% as a percent.
How do I round 7/34 to 2 decimal places?
7/34 rounded to 2 decimal places is 0.21.