46/49 as a decimal
46/49 as a decimal is 0.938775510204081632653061224489795918367346… (the digits 938775510204081632653061224489795918367346 repeat forever), which is 0.94 rounded to 2 decimal places.
Change either number to try your own. The digits 938775510204081632653061224489795918367346 repeat. Rounded to 2 places: 0.94. In lowest terms: 46/49.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 46 by the bottom number 49.
- 2
49 does not go into 46 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 49, and write the digit. A remainder comes back after 42 steps, so the digits 938775510204081632653061224489795918367346 repeat forever.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{46}{49} = 0.\overline{938775510204081632653061224489795918367346} \]
\[ \frac{46}{49} = 46 \div 49 \]Long division of 46 by 49
| Step | Remainder × 10 | Divide by 49 | Remainder left |
|---|---|---|---|
| 1 | 460 | 460 ÷ 49 = 9 | 19 |
| 2 | 190 | 190 ÷ 49 = 3 | 43 |
| 3 | 430 | 430 ÷ 49 = 8 | 38 |
| 4 | 380 | 380 ÷ 49 = 7 | 37 |
| 5 | 370 | 370 ÷ 49 = 7 | 27 |
| 6 | 270 | 270 ÷ 49 = 5 | 25 |
| 7 | 250 | 250 ÷ 49 = 5 | 5 |
| 8 | 50 | 50 ÷ 49 = 1 | 1 |
| 9 | 10 | 10 ÷ 49 = 0 | 10 |
| 10 | 100 | 100 ÷ 49 = 2 | 2 |
| 11 | 20 | 20 ÷ 49 = 0 | 20 |
| 12 | 200 | 200 ÷ 49 = 4 | 4 |
Questions
What is 46/49 as a decimal?
46/49 as a decimal is 0.938775510204081632653061224489795918367346… (the digits 938775510204081632653061224489795918367346 repeat forever), which is 0.94 rounded to 2 decimal places.
Is 46/49 a terminating or a repeating decimal?
It repeats. The bottom number 49 = 7 × 7 has a prime factor other than 2 and 5, so the division never ends and the block 938775510204081632653061224489795918367346 (42 digits) repeats.
What is 46/49 as a percent?
46/49 is 93.877551020408163265306122448979591836734693…% as a percent.
How do I round 46/49 to 2 decimal places?
46/49 rounded to 2 decimal places is 0.94.