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
`(5)/(8)` by
`(1)/(16)`.

Her friend Robyn divides
`(5)/(8)` by
`(1)/(32)`.

To find:

The quotient of Susan and Robyn.

Solution:

Susan divides the fraction
`(5)/(8)` by
`(1)/(16)`.

`((5)/(8))/((1)/(16))=(5)/(8)* (16)/(1)`

`((5)/(8))/((1)/(16))=(80)/(8)`

`((5)/(8))/((1)/(16))=10`

So, Susan's quotient is 10.

Her friend Robyn divides
`(5)/(8)` by
`(1)/(32)`.

`((5)/(8))/((1)/(32))=(5)/(8)* (32)/(1)`

`((5)/(8))/((1)/(32))=5* 4`

`((5)/(8))/((1)/(32))=20`

So, Robyn's quotient is 20.

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