52/97 as a decimal
52/97 as a decimal is 0.536082474226804123711340206185567010309278350515463917525773195876288659793814432989690721649484… (the digits 536082474226804123711340206185567010309278350515463917525773195876288659793814432989690721649484 repeat forever), which is 0.54 rounded to 2 decimal places.
Change either number to try your own. The digits 536082474226804123711340206185567010309278350515463917525773195876288659793814432989690721649484 repeat. Rounded to 2 places: 0.54. In lowest terms: 52/97.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 52 by the bottom number 97.
- 2
97 does not go into 52 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 536082474226804123711340206185567010309278350515463917525773195876288659793814432989690721649484 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{52}{97} = 0.\overline{536082474226804123711340206185567010309278350515463917525773195876288659793814432989690721649484} \]
\[ \frac{52}{97} = 52 \div 97 \]Long division of 52 by 97
| Step | Remainder × 10 | Divide by 97 | Remainder left |
|---|---|---|---|
| 1 | 520 | 520 ÷ 97 = 5 | 35 |
| 2 | 350 | 350 ÷ 97 = 3 | 59 |
| 3 | 590 | 590 ÷ 97 = 6 | 8 |
| 4 | 80 | 80 ÷ 97 = 0 | 80 |
| 5 | 800 | 800 ÷ 97 = 8 | 24 |
| 6 | 240 | 240 ÷ 97 = 2 | 46 |
| 7 | 460 | 460 ÷ 97 = 4 | 72 |
| 8 | 720 | 720 ÷ 97 = 7 | 41 |
| 9 | 410 | 410 ÷ 97 = 4 | 22 |
| 10 | 220 | 220 ÷ 97 = 2 | 26 |
| 11 | 260 | 260 ÷ 97 = 2 | 66 |
| 12 | 660 | 660 ÷ 97 = 6 | 78 |
Questions
What is 52/97 as a decimal?
52/97 as a decimal is 0.536082474226804123711340206185567010309278350515463917525773195876288659793814432989690721649484… (the digits 536082474226804123711340206185567010309278350515463917525773195876288659793814432989690721649484 repeat forever), which is 0.54 rounded to 2 decimal places.
Is 52/97 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 536082474226804123711340206185567010309278350515463917525773195876288659793814432989690721649484 (96 digits) repeats.
What is 52/97 as a percent?
52/97 is 53.608247422680412371134020618556701030927835051546391752577319587628865979381443298969072164948453…% as a percent.
How do I round 52/97 to 2 decimal places?
52/97 rounded to 2 decimal places is 0.54.