Mr. Alvarez bought 3/4 pound of blueberries and 3/8 pound of raspberries. which pair of fractions can be used to find how many pounds of Mr . alvarez bought in all?

Question

asked Mar 10, 2024 167k views

1 Answer

ClydeFrog · Answer 1 · 2024-03-15T06:21:20+0000

Answer:

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Explanation:

To find the total amount of berries that Mr. Alvarez bought, you need to add the amount of blueberries and raspberries.

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The fractions for the amount of blueberries and raspberries are:

$\sf\qquad\dashrightarrow\rm{Blueberries = \blue{(3)/(4)}}$

$\sf\qquad\dashrightarrow\rm{Raspberries = \red{(3)/(8)}}$

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To add these fractions, you need to find a common denominator. The smallest common denominator for 4 and 8 is 8.

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Converting the fractions to have a common denominator of 8:

$\sf\qquad\dashrightarrow\rm{Blueberries = \blue{(3)/(4)} = \blue{(6)/(8)}}$

$\sf\qquad\dashrightarrow\rm{Raspberries = \red{(3)/(8)} = \red{(3)/(8)}}$

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Now you can add the fractions:

$\rm\implies{Total = \blue{(6)/(8)} + \red{(3)/(8)}}$

$\rm\implies{Total = \frac{\blue{6} + \red{3}}{\green{8}}}$

$\rm\implies\boxed{\boxed{\sf{\:\:\:Total = \green{(9)/(8)}\:\:\:}}}$

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$\therefore$ Mr. Alvarez bought a total of 9/8 pounds of berries.