11/16 as a decimal
11/16 as a decimal is 0.6875.
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Change either number to try your own. Rounded to 2 places: 0.69. In lowest terms: 11/16.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 11 by the bottom number 16.
- 2
16 does not go into 11 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 16, and write the digit. The remainder reaches 0 after 4 steps, so the decimal ends.
- 4
The result is
LaTeX source of the formulas on this page
\[ \frac{11}{16} = 0.6875 \]
\[ \frac{11}{16} = 11 \div 16 \]Long division of 11 by 16
| Step | Remainder × 10 | Divide by 16 | Remainder left |
|---|---|---|---|
| 1 | 110 | 110 ÷ 16 = 6 | 14 |
| 2 | 140 | 140 ÷ 16 = 8 | 12 |
| 3 | 120 | 120 ÷ 16 = 7 | 8 |
| 4 | 80 | 80 ÷ 16 = 5 | 0 |
Questions
What is 11/16 as a decimal?
11/16 as a decimal is 0.6875.
Is 11/16 a terminating or a repeating decimal?
It terminates. The bottom number 16 = 2 × 2 × 2 × 2 has no prime factors other than 2 and 5, so the division ends.
What is 11/16 as a percent?
11/16 is 68.75% as a percent.
How do I round 11/16 to 2 decimal places?
11/16 rounded to 2 decimal places is 0.69.