Write 7 1/2 as a decimal number
The Correct Answer and Explanation is :
To convert the mixed number (7 \frac{1}{2}) into a decimal, we follow a straightforward process. A mixed number consists of a whole number and a fraction, in this case, (7) (the whole number) and (\frac{1}{2}) (the fraction).
Step-by-Step Conversion
- Identify the Whole Number: The whole number part of (7 \frac{1}{2}) is (7).
- Convert the Fraction to a Decimal:
- The fraction (\frac{1}{2}) needs to be converted to its decimal form. To do this, divide the numerator (1) by the denominator (2):
[
1 \div 2 = 0.5
]
- Combine the Whole Number and Decimal: Now that we have converted the fraction to a decimal, we can add it to the whole number:
[
7 + 0.5 = 7.5
]
Thus, the decimal equivalent of the mixed number (7 \frac{1}{2}) is 7.5.
Explanation of the Process
Understanding how to convert mixed numbers to decimals is essential, especially in fields that require precise calculations, such as mathematics, engineering, and finance. Mixed numbers can be seen in everyday situations, such as when measuring ingredients in cooking or interpreting scores in sports.
The conversion process involves two simple operations: recognizing the whole number and converting the fractional part to its decimal equivalent. This method is systematic and can be applied to any mixed number.
For instance, if the mixed number were (3 \frac{3}{4}), one would first identify (3) as the whole number and convert (\frac{3}{4}) by dividing (3) by (4) to get (0.75), leading to a total of (3.75).
By mastering this process, one can simplify various numerical tasks and enhance their numerical literacy, enabling effective communication and comprehension in both academic and practical settings.