5/16 as a decimal
5/16 as a decimal is 0.3125.
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Change either number to try your own. Rounded to 2 places: 0.31. In lowest terms: 5/16.
See the full steps for these numbersHow to work it out
- 1
A fraction is a division. Divide the top number 5 by the bottom number 16.
- 2
16 does not go into 5 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
\[ \frac{5}{16} = 0.3125 \]
\[ \frac{5}{16} = 5 \div 16 \]Long division of 5 by 16
| Step | Remainder × 10 | Divide by 16 | Remainder left |
|---|---|---|---|
| 1 | 50 | 50 ÷ 16 = 3 | 2 |
| 2 | 20 | 20 ÷ 16 = 1 | 4 |
| 3 | 40 | 40 ÷ 16 = 2 | 8 |
| 4 | 80 | 80 ÷ 16 = 5 | 0 |
Questions
What is 5/16 as a decimal?
5/16 as a decimal is 0.3125.
Is 5/16 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 5/16 as a percent?
5/16 is 31.25% as a percent.
How do I round 5/16 to 2 decimal places?
5/16 rounded to 2 decimal places is 0.31.