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Step-by-step explanation:
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Answer:
Fraction Multiplication
A model may help you understand multiplication of fractions. We will use fraction tiles to model [latex]\frac{1}{2}\cdot \frac{3}{4}[/latex].
To multiply [latex]\frac{1}{2}[/latex] and [latex]\frac{3}{4}[/latex], think “I need to find [latex]\frac{1}{2}[/latex] of [latex]\frac{3}{4}[/latex].”
Start with fraction tiles for three-fourths. To find one-half of three-fourths, we need to divide them into two equal groups. Since we cannot divide the three [latex]\frac{1}{4}[/latex] tiles evenly into two parts, we exchange them for smaller tiles.We see [latex]\frac{6}{8}[/latex] is equivalent to [latex]\frac{3}{4}[/latex]. Taking half of the six [latex]\frac{1}{8}[/latex] tiles gives us three [latex]\frac{1}{8}[/latex] tiles, which is [latex]\frac{3}{8}[/latex].
Therefore, [latex]\frac{1}{2}\cdot \frac{3}{4}=\frac{3}{8}[/latex]