How do you turn 11.5 in a fraction
The Correct Answer and Explanation is :
To convert the decimal 11.5 into a fraction, follow these steps:
- Understand the Decimal: The number 11.5 can be broken down into its whole number and fractional parts. The whole number part is 11, and the fractional part is 0.5.
- Convert the Decimal to a Fraction: The decimal 0.5 can be expressed as the fraction (\frac{1}{2}). This is because 0.5 means half of one whole, which can be written as:
[
0.5 = \frac{5}{10} = \frac{1}{2}
] - Combine the Whole Number and Fraction: Since we have 11 as the whole number and (\frac{1}{2}) as the fractional part, we can express 11.5 as:
[
11.5 = 11 + 0.5 = 11 + \frac{1}{2}
] - Convert to an Improper Fraction: To express this as a single fraction, we convert the whole number 11 into a fraction with the same denominator as (\frac{1}{2}). The number 11 can be expressed as:
[
11 = \frac{11 \times 2}{2} = \frac{22}{2}
]
Now, we can add the two fractions:
[
11.5 = \frac{22}{2} + \frac{1}{2} = \frac{22 + 1}{2} = \frac{23}{2}
] - Final Answer: Thus, the decimal 11.5 can be represented as the fraction (\frac{23}{2}).
Summary
In summary, converting a decimal like 11.5 to a fraction involves breaking it down into its whole and fractional components, converting the fractional part into a fraction, and then combining them. The final result is (\frac{23}{2}), which is the simplest form of the fraction representing 11.5. This process is a useful mathematical skill, especially in contexts where fractions are preferred over decimals, such as in certain calculations or measurements.