High School

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]$\frac{18}{20}$[/tex]

B. [tex]$\frac{9}{20}$[/tex]

C. [tex]$\frac{3}{20}$[/tex]

D. [tex]$\frac{6}{20}$[/tex]

Answer :

Maggi starts with [tex]$\frac{3}{4}$[/tex] pound of blueberries. She uses [tex]$\frac{3}{5}$[/tex] of these blueberries for her smoothie. To find the amount used, we multiply the total amount by the fraction used:

[tex]$$
\text{Blueberries used} = \frac{3}{4} \times \frac{3}{5}
$$[/tex]

Multiply the numerators together and the denominators together:

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

Thus, Maggi used [tex]$\frac{9}{20}$[/tex] pound of blueberries to make the smoothie.