jada picked 4 2/3 cups of blackberries. andre picked 3 5/8 cups of blackberries. how many cups of…

jada picked 4 2/3 cups of blackberries. andre picked 3 5/8 cups of blackberries. how many cups of blackberries did jada and andre pick together? a 7 7/11 cups b 8 7/24 cups

jada picked 4 2/3 cups of blackberries. andre picked 3 5/8 cups of blackberries. how many cups of blackberries did jada and andre pick together? a 7 7/11 cups b 8 7/24 cups

Answer

Explanation:

Step1: Convert mixed - numbers to improper fractions

$4\frac{2}{3}=\frac{4\times3 + 2}{3}=\frac{14}{3}$ and $3\frac{5}{8}=\frac{3\times8+5}{8}=\frac{29}{8}$

Step2: Find a common denominator

The common denominator of 3 and 8 is 24. $\frac{14}{3}=\frac{14\times8}{3\times8}=\frac{112}{24}$ and $\frac{29}{8}=\frac{29\times3}{8\times3}=\frac{87}{24}$

Step3: Add the fractions

$\frac{112}{24}+\frac{87}{24}=\frac{112 + 87}{24}=\frac{199}{24}$

Step4: Convert back to a mixed - number

$\frac{199}{24}=8\frac{7}{24}$

Answer:

B. $8\frac{7}{24}$ cups