Question

1. grandma rose would like to sew matching outfits for 3 of her grandchildren. the oldest grandchild requires $2\frac{9}{16}$ yards of fabric, and the other 2 grandchildren require $\frac{7}{8}$ yards each. how much material should grandma rose buy?

$\bigcirc$ $3\frac{5}{16}$ yards
$\bigcirc$ $4\frac{5}{16}$ yards
$\bigcirc$ $3\frac{37}{16}$ yards
$\bigcirc$ $4\frac{25}{32}$ yards

Explanation:

Step1: Calculate fabric for 2 grandchildren

Each of 2 grandchildren needs $\frac{7}{8}$ yards. So total for them: $2\times\frac{7}{8}=\frac{14}{8}=\frac{7}{4}$ yards.

Step2: Convert mixed number to improper fraction

Oldest grandchild needs $2\frac{9}{16}$ yards. Convert to improper: $2\frac{9}{16}=\frac{2\times16 + 9}{16}=\frac{41}{16}$ yards.

Step3: Add the two amounts

Total fabric = $\frac{41}{16}+\frac{7}{4}$. Convert $\frac{7}{4}$ to sixteenths: $\frac{7}{4}=\frac{28}{16}$. Now add: $\frac{41}{16}+\frac{28}{16}=\frac{69}{16}$.

Step4: Convert improper to mixed number

$\frac{69}{16}=4\frac{5}{16}$ yards (since $16\times4 = 64$, $69 - 64 = 5$).

Answer:

B. $4\frac{5}{16}$ yards