To calculate half of 1 1⁄4, we need to convert the mixed number to an improper fraction or decimal first.
1 1⁄4 can be converted to an improper fraction as follows: 1 * 4⁄4 + 1⁄4 = 4⁄4 + 1⁄4 = 5⁄4
Now, to find half of 5⁄4, we multiply 5⁄4 by 1⁄2: (5⁄4) * (1⁄2) = 5⁄8
So, half of 1 1⁄4 is 5⁄8.
Alternatively, you can convert 1 1⁄4 to a decimal: 1 1⁄4 = 1 + 1⁄4 = 1 + 0.25 = 1.25
Then, find half of 1.25: 1.25 / 2 = 0.625
Therefore, half of 1 1⁄4 is 0.625 or 5⁄8.
Conversion Explanation
The conversion process involves changing the mixed number into a form that is easier to work with, such as an improper fraction or a decimal. This step is crucial for performing the calculation accurately.
Improper Fraction Conversion
Converting a mixed number to an improper fraction involves multiplying the whole number part by the denominator, then adding the numerator. In this case, 1 * 4 + 1 = 5, and the denominator remains 4, resulting in 5⁄4.
| Original Value | Converted Value |
|---|---|
| 1 1/4 | 5/4 or 1.25 |
Key Points
- To find half of a mixed number, convert it to an improper fraction or decimal first.
- 1 1/4 as an improper fraction is 5/4.
- Half of 5/4 is 5/8.
- Alternatively, 1 1/4 as a decimal is 1.25, and half of 1.25 is 0.625.
- Understanding number conversions is crucial for accurate calculations.
By following these steps and understanding the conversion process, you can easily calculate half of any mixed number. This skill is not only useful in mathematics but also in real-world applications where measurements and calculations are necessary.
What is the first step in finding half of a mixed number?
+The first step is to convert the mixed number into an improper fraction or a decimal to make the calculation easier.
How do you convert a mixed number to an improper fraction?
+You multiply the whole number part by the denominator, then add the numerator, keeping the same denominator.
What is half of 1 1⁄4 in decimal form?
+Half of 1 1⁄4 in decimal form is 0.625.
