Question

Susan divides the fraction 5/8 by 1/16 . Her friend Robyn divides 5/8 by 1/32 predict which person will get the greater quotient . Explain and check your prediction

Answer 1

So when you divide fractions, you keep the first fraction (in this case 5/8) then change the sign from divide to multiply, then flip the second fraction (we’ll use 1/16 first)

So 5/8 times 16/1. 80/8. Simply to 10.

Now do the same with 5/8 and 1/32

5/8 times 32/1. 160/8. Simplify to 20.

So I good prediction would be 1/32 since you have to flip the divisor and multiply.

Answer 2

Robyn will get the greater quotient

Explanation:

Prediction: Since 1/16 >1/32

So, it will prove the smaller quotient

Susan divides the fraction 5/8 by 1/16 .

Calculation :
`(5)/(8) / (1)/(16)`

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

`(5)/(8) * 16`

`10`

Robyn divides 5/8 by 1/32

Calculation :
`(5)/(8) / (1)/(32)`

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

`(5)/(8) * 32`

`20`

So, The prediction is true.

Robyn will get the greater quotient