Answer :
Sure! Let's solve this step-by-step.
Maggi buys [tex]\(\frac{3}{4}\)[/tex] pound of blueberries and uses [tex]\(\frac{3}{5}\)[/tex] of them to make a smoothie. We want to find out how many pounds of blueberries she used.
### Step-by-Step Solution
1. Understand the Problem:
- Maggi starts with [tex]\(\frac{3}{4}\)[/tex] pound of blueberries.
- She uses [tex]\(\frac{3}{5}\)[/tex] of these blueberries to make a smoothie.
- We need to find how many pounds of blueberries [tex]\(\frac{3}{5}\)[/tex] of [tex]\(\frac{3}{4}\)[/tex] pounds is.
2. Multiply the Fractions:
To find out how many pounds she used, multiply [tex]\(\frac{3}{4}\)[/tex] by [tex]\(\frac{3}{5}\)[/tex]:
[tex]\[
\text{Blueberries used} = \left(\frac{3}{4}\right) \times \left(\frac{3}{5}\right)
\][/tex]
3. Calculate the Product:
To multiply fractions, multiply the numerators and then multiply the denominators:
[tex]\[
\left(\frac{3}{4}\right) \times \left(\frac{3}{5}\right) = \frac{3 \times 3}{4 \times 5} = \frac{9}{20}
\][/tex]
### Conclusion
Maggi used [tex]\(\frac{9}{20}\)[/tex] pounds of blueberries to make her smoothie.
Thus, the correct answer is:
[tex]\[
\boxed{\frac{9}{20}}
\][/tex]
Maggi buys [tex]\(\frac{3}{4}\)[/tex] pound of blueberries and uses [tex]\(\frac{3}{5}\)[/tex] of them to make a smoothie. We want to find out how many pounds of blueberries she used.
### Step-by-Step Solution
1. Understand the Problem:
- Maggi starts with [tex]\(\frac{3}{4}\)[/tex] pound of blueberries.
- She uses [tex]\(\frac{3}{5}\)[/tex] of these blueberries to make a smoothie.
- We need to find how many pounds of blueberries [tex]\(\frac{3}{5}\)[/tex] of [tex]\(\frac{3}{4}\)[/tex] pounds is.
2. Multiply the Fractions:
To find out how many pounds she used, multiply [tex]\(\frac{3}{4}\)[/tex] by [tex]\(\frac{3}{5}\)[/tex]:
[tex]\[
\text{Blueberries used} = \left(\frac{3}{4}\right) \times \left(\frac{3}{5}\right)
\][/tex]
3. Calculate the Product:
To multiply fractions, multiply the numerators and then multiply the denominators:
[tex]\[
\left(\frac{3}{4}\right) \times \left(\frac{3}{5}\right) = \frac{3 \times 3}{4 \times 5} = \frac{9}{20}
\][/tex]
### Conclusion
Maggi used [tex]\(\frac{9}{20}\)[/tex] pounds of blueberries to make her smoothie.
Thus, the correct answer is:
[tex]\[
\boxed{\frac{9}{20}}
\][/tex]
