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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 [tex]\(\frac{3}{4}\)[/tex] pound of blueberries.
Here's a step-by-step breakdown of the process:
1. Identify the total blueberries: Maggi bought [tex]\(\frac{3}{4}\)[/tex] pound of blueberries.
2. Determine the fraction used: Maggi used [tex]\(\frac{3}{5}\)[/tex] of the total blueberries for the smoothie.
3. Calculate the amount used for the smoothie: We need to multiply the total amount of blueberries by the fraction used for the smoothie. So, we calculate:
[tex]\[
\text{Amount used} = \frac{3}{4} \times \frac{3}{5}
\][/tex]
4. Perform the multiplication:
[tex]\[
\frac{3}{4} \times \frac{3}{5} = \frac{3 \times 3}{4 \times 5} = \frac{9}{20}
\][/tex]
Therefore, Maggi used [tex]\(\frac{9}{20}\)[/tex] pounds of blueberries to make the smoothie. Hence, the correct answer is [tex]\(\frac{9}{20}\)[/tex].
Here's a step-by-step breakdown of the process:
1. Identify the total blueberries: Maggi bought [tex]\(\frac{3}{4}\)[/tex] pound of blueberries.
2. Determine the fraction used: Maggi used [tex]\(\frac{3}{5}\)[/tex] of the total blueberries for the smoothie.
3. Calculate the amount used for the smoothie: We need to multiply the total amount of blueberries by the fraction used for the smoothie. So, we calculate:
[tex]\[
\text{Amount used} = \frac{3}{4} \times \frac{3}{5}
\][/tex]
4. Perform the multiplication:
[tex]\[
\frac{3}{4} \times \frac{3}{5} = \frac{3 \times 3}{4 \times 5} = \frac{9}{20}
\][/tex]
Therefore, Maggi used [tex]\(\frac{9}{20}\)[/tex] pounds of blueberries to make the smoothie. Hence, the correct answer is [tex]\(\frac{9}{20}\)[/tex].
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