36/47 as a decimal
36/47 as a decimal is 0.7659574468085106382978723404255319148936170212… (the digits 7659574468085106382978723404255319148936170212 repeat forever), which is 0.77 rounded to 2 decimal places.
Change either number to try your own. The digits 7659574468085106382978723404255319148936170212 repeat. Rounded to 2 places: 0.77. In lowest terms: 36/47.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 36 by the bottom number 47.
- 2
47 does not go into 36 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 47, and write the digit. A remainder comes back after 46 steps, so the digits 7659574468085106382978723404255319148936170212 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{36}{47} = 0.\overline{7659574468085106382978723404255319148936170212} \]
\[ \frac{36}{47} = 36 \div 47 \]Long division of 36 by 47
| Step | Remainder × 10 | Divide by 47 | Remainder left |
|---|---|---|---|
| 1 | 360 | 360 ÷ 47 = 7 | 31 |
| 2 | 310 | 310 ÷ 47 = 6 | 28 |
| 3 | 280 | 280 ÷ 47 = 5 | 45 |
| 4 | 450 | 450 ÷ 47 = 9 | 27 |
| 5 | 270 | 270 ÷ 47 = 5 | 35 |
| 6 | 350 | 350 ÷ 47 = 7 | 21 |
| 7 | 210 | 210 ÷ 47 = 4 | 22 |
| 8 | 220 | 220 ÷ 47 = 4 | 32 |
| 9 | 320 | 320 ÷ 47 = 6 | 38 |
| 10 | 380 | 380 ÷ 47 = 8 | 4 |
| 11 | 40 | 40 ÷ 47 = 0 | 40 |
| 12 | 400 | 400 ÷ 47 = 8 | 24 |
Questions
What is 36/47 as a decimal?
36/47 as a decimal is 0.7659574468085106382978723404255319148936170212… (the digits 7659574468085106382978723404255319148936170212 repeat forever), which is 0.77 rounded to 2 decimal places.
Is 36/47 a terminating or a repeating decimal?
It repeats. The bottom number 47 = 47 has a prime factor other than 2 and 5, so the division never ends and the block 7659574468085106382978723404255319148936170212 (46 digits) repeats.
What is 36/47 as a percent?
36/47 is 76.5957446808510638297872340425531914893617021276…% as a percent.
How do I round 36/47 to 2 decimal places?
36/47 rounded to 2 decimal places is 0.77.