20/97 as a decimal
20/97 as a decimal is 0.206185567010309278350515463917525773195876288659793814432989690721649484536082474226804123711340… (the digits 206185567010309278350515463917525773195876288659793814432989690721649484536082474226804123711340 repeat forever), which is 0.21 rounded to 2 decimal places.
Change either number to try your own. The digits 206185567010309278350515463917525773195876288659793814432989690721649484536082474226804123711340 repeat. Rounded to 2 places: 0.21. In lowest terms: 20/97.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 20 by the bottom number 97.
- 2
97 does not go into 20 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 97, and write the digit. A remainder comes back after 96 steps, so the digits 206185567010309278350515463917525773195876288659793814432989690721649484536082474226804123711340 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{20}{97} = 0.\overline{206185567010309278350515463917525773195876288659793814432989690721649484536082474226804123711340} \]
\[ \frac{20}{97} = 20 \div 97 \]Long division of 20 by 97
| Step | Remainder × 10 | Divide by 97 | Remainder left |
|---|---|---|---|
| 1 | 200 | 200 ÷ 97 = 2 | 6 |
| 2 | 60 | 60 ÷ 97 = 0 | 60 |
| 3 | 600 | 600 ÷ 97 = 6 | 18 |
| 4 | 180 | 180 ÷ 97 = 1 | 83 |
| 5 | 830 | 830 ÷ 97 = 8 | 54 |
| 6 | 540 | 540 ÷ 97 = 5 | 55 |
| 7 | 550 | 550 ÷ 97 = 5 | 65 |
| 8 | 650 | 650 ÷ 97 = 6 | 68 |
| 9 | 680 | 680 ÷ 97 = 7 | 1 |
| 10 | 10 | 10 ÷ 97 = 0 | 10 |
| 11 | 100 | 100 ÷ 97 = 1 | 3 |
| 12 | 30 | 30 ÷ 97 = 0 | 30 |
Questions
What is 20/97 as a decimal?
20/97 as a decimal is 0.206185567010309278350515463917525773195876288659793814432989690721649484536082474226804123711340… (the digits 206185567010309278350515463917525773195876288659793814432989690721649484536082474226804123711340 repeat forever), which is 0.21 rounded to 2 decimal places.
Is 20/97 a terminating or a repeating decimal?
It repeats. The bottom number 97 = 97 has a prime factor other than 2 and 5, so the division never ends and the block 206185567010309278350515463917525773195876288659793814432989690721649484536082474226804123711340 (96 digits) repeats.
What is 20/97 as a percent?
20/97 is 20.618556701030927835051546391752577319587628865979381443298969072164948453608247422680412371134020…% as a percent.
How do I round 20/97 to 2 decimal places?
20/97 rounded to 2 decimal places is 0.21.