What is half of 1 1/2 cups?

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149
Mar 9, 2016

$\frac{3}{4}$ cup

Explanation:

$1 \frac{1}{2}$ can be written as an improper fraction $\frac{3}{2}$

$\frac{1}{2}$ of anything means $\frac{1}{2} \times$ anything

So
$\frac{1}{2}$ of $1 \frac{1}{2}$
$\textcolor{w h i t e}{\text{XXX}} = \frac{1}{2} \times \frac{3}{2}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{1 \times 3}{2 \times 2}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{3}{4}$
or 0.75

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37
Oct 19, 2016

$\frac{3}{4}$ cup

Explanation:

to answer this question you first change $1 \frac{1}{2}$ into a improper fraction.
$\frac{3}{2}$
then multiply it by $\frac{1}{2}$

$\frac{3}{2} \times \frac{1}{2} = \frac{3}{4}$

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15
Aug 18, 2016

$\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4}$

Explanation:

We can work this out with a bit of thinking and without having to use the fraction operations which students find difficult.

Half of $1 \frac{1}{2}$ cups can be thought of as:
half of one cup and half of half a cup.

Half of 1 is $\frac{1}{2}$

Half of $\frac{1}{2} i s \frac{1}{4}$

Now we have $\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4}$

This can be nicely shown by using the measuring cups of different sizes used in baking.

Nice introduction to fractions from a practical point of view.

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