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Maggi buys [tex]\frac{3}{4}[/tex] pound of blueberries and uses [tex]\frac{3}{5}[/tex] of them to make a smoothie. How many pounds of blueberries did Maggi use to make the smoothie?

A. [tex]\frac{9}{20}[/tex]
B. [tex]\frac{6}{20}[/tex]
C. [tex]\frac{3}{20}[/tex]
D. [tex]\frac{18}{20}[/tex]

Answer :

To find out how many pounds of blueberries Maggi used to make the smoothie, we need to calculate [tex]\(\frac{3}{5}\)[/tex] of the [tex]\(\frac{3}{4}\)[/tex] pound of blueberries she bought.

Here's the step-by-step solution:

1. Determine the fractions involved:
- Maggi bought [tex]\(\frac{3}{4}\)[/tex] pound of blueberries.
- She used [tex]\(\frac{3}{5}\)[/tex] of these blueberries for the smoothie.

2. Multiply the fractions to find the amount used:
- To find out how much [tex]\(\frac{3}{5}\)[/tex] of [tex]\(\frac{3}{4}\)[/tex] is, we multiply these two fractions:

[tex]\[
\frac{3}{4} \times \frac{3}{5} = \frac{3 \times 3}{4 \times 5} = \frac{9}{20}
\][/tex]

3. Conclusion:
- Maggi used [tex]\(\frac{9}{20}\)[/tex] pound of blueberries to make the smoothie.

Thus, the answer is [tex]\(\frac{9}{20}\)[/tex] pound of blueberries.