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example: $\frac{2}{3} + \frac{2}{3} + \frac{2}{3} + \frac{2}{3} = \frac…

Question

example: $\frac{2}{3} + \frac{2}{3} + \frac{2}{3} + \frac{2}{3} = \frac{4\times2}{3} = \frac{8}{3}$
a. $\frac{5}{3} + \frac{5}{3} + \frac{5}{3}$
b. $\frac{13}{5} + \frac{13}{5}$
c. $\frac{9}{4} + \frac{9}{4} + \frac{9}{4}$

Explanation:

Step1: Rewrite sum as multiplication

For part a: $\frac{5}{3} + \frac{5}{3} + \frac{5}{3} = 3 \times \frac{5}{3}$

Step2: Calculate the product

For part a: $3 \times \frac{5}{3} = 5$

Step3: Rewrite sum as multiplication

For part b: $\frac{13}{5} + \frac{13}{5} = 2 \times \frac{13}{5}$

Step4: Calculate the product

For part b: $2 \times \frac{13}{5} = \frac{26}{5}$

Step5: Rewrite sum as multiplication

For part c: $\frac{9}{4} + \frac{9}{4} + \frac{9}{4} = 3 \times \frac{9}{4}$

Step6: Calculate the product

For part c: $3 \times \frac{9}{4} = \frac{27}{4}$

Answer:

a. $5$
b. $\frac{26}{5}$
c. $\frac{27}{4}$