Which decimal is equivalent to 5/12 ?
A. 0.416
B. 0.416
C. 0.416
D. 0.416
The correct answer and explanation is:
The correct answer is 0.416.
To convert the fraction 5/12 into its decimal form, you can divide the numerator (5) by the denominator (12).
So, perform the division:
5 ÷ 12 = 0.41666…
The result is a repeating decimal, with the digit “6” repeating indefinitely. For practical purposes, it is usually rounded to a certain number of decimal places. In this case, rounding to three decimal places gives the value 0.416.
The process for division involves:
- Dividing the numerator by the denominator.
- Identifying if the result is a terminating decimal or a repeating decimal.
- If the result is repeating, rounding it to the desired number of decimal places or indicating that it repeats.
When dealing with repeating decimals, the standard convention is to round or use an ellipsis (“…”) to represent the repeating part. The answer given here, 0.416, is an approximation of the repeating decimal. It is important to note that for higher precision, more decimal places may be necessary, but for most cases, rounding to three decimal places is sufficient.
In real-world scenarios, decimal approximations like this are common when dealing with money, measurements, or other contexts that require a fixed number of decimal places.