Question

Susan divides the fraction LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{16}1 16. Her friend Robyn divides LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{32}1 32. Who will get the greater quotient, Susan or Robyn? Write "Susan" or "Robyn." What is Susan's quotient? Write your answer as a whole number. What is Robin's quotient? Write your answer as a whole number.

Answer 1

Given:

Susan divides the fraction $\dfrac{5}{8}$ by $\dfrac{1}{16}$.

Her friend Robyn divides $\dfrac{5}{8}$ by $\dfrac{1}{32}$.

To find:

The quotient of Susan and Robyn.

Solution:

Susan divides the fraction $\dfrac{5}{8}$ by $\dfrac{1}{16}$.

$\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{5}{8}\times \dfrac{16}{1}$

$\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{80}{8}$

$\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=10$

So, Susan's quotient is 10.

Her friend Robyn divides $\dfrac{5}{8}$ by $\dfrac{1}{32}$.

$\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=\dfrac{5}{8}\times \dfrac{32}{1}$

$\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=5\times 4$

$\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=20$

So, Robyn's quotient is 20.

Since 20>10, therefore, Robyn will get greater quotient.