To figure out what half of 1 1/4 cup is, we need to understand what 1 1/4 cup represents. It's essentially 1 whole cup plus an extra 1/4 cup. Think of it like having a cup of coffee and then adding a little extra cream - you're getting a bit more than the usual amount.
Now, when we talk about half of 1 1/4 cup, we're looking at half of the whole amount. To calculate this, we need to convert the mixed number (1 1/4) into an improper fraction. Don't worry, it's not as scary as it sounds! We're simply converting the whole number into a fraction and then adding the extra fraction.
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In this case, 1 1/4 cup becomes 5/4 cup. Now, to find half of 5/4 cup, we multiply the fraction by 1/2. This gives us 5/4 x 1/2 = 5/8 cup. Voilà! We've got our answer - half of 1 1/4 cup is equal to 5/8 cup.