38/39 as a decimal
38/39 as a decimal is 0.974358… (the digits 974358 repeat forever), which is 0.97 rounded to 2 decimal places.
Change either number to try your own. The digits 974358 repeat. Rounded to 2 places: 0.97. In lowest terms: 38/39.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 38 by the bottom number 39.
- 2
39 does not go into 38 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 39, and write the digit. A remainder comes back after 6 steps, so the digits 974358 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{38}{39} = 0.\overline{974358} \]
\[ \frac{38}{39} = 38 \div 39 \]Long division of 38 by 39
| Step | Remainder × 10 | Divide by 39 | Remainder left |
|---|---|---|---|
| 1 | 380 | 380 ÷ 39 = 9 | 29 |
| 2 | 290 | 290 ÷ 39 = 7 | 17 |
| 3 | 170 | 170 ÷ 39 = 4 | 14 |
| 4 | 140 | 140 ÷ 39 = 3 | 23 |
| 5 | 230 | 230 ÷ 39 = 5 | 35 |
| 6 | 350 | 350 ÷ 39 = 8 | 38 |
Questions
What is 38/39 as a decimal?
38/39 as a decimal is 0.974358… (the digits 974358 repeat forever), which is 0.97 rounded to 2 decimal places.
Is 38/39 a terminating or a repeating decimal?
It repeats. The bottom number 39 = 3 × 13 has a prime factor other than 2 and 5, so the division never ends and the block 974358 (6 digits) repeats.
What is 38/39 as a percent?
38/39 is 97.435897…% as a percent.
How do I round 38/39 to 2 decimal places?
38/39 rounded to 2 decimal places is 0.97.