Question

Choose the quotient of2 5/8 divided by 1/2

Answer 1

We need to solve the following

`(2(5)/(8))/((1)/(2))`

Stepts.

#1. Convert mixed numbers to improper fractions

`\begin{gathered} a(b)/(c)=(a-c+b)/(c) \\ 2(5)/(8)=(2\cdot8+5)/(8) \\ =(21)/(8) \end{gathered}`

So, now we have:

`(2(5)/(8))/((1)/(2))=((21)/(8))/((1)/(2))`

#2 Apply the fraction rule

`((a)/(b))/((c)/(d))=(a\cdot\:d)/(b\cdot\:c)`

So, we obtain

`((21)/(8))/((1)/(2))=(21\cdot\:2)/(8\cdot\:1)=(21)/(4)`

#3. Convert improper fractions to mixed number

`(21)/(4)=(20+1)/(4)=(20)/(4)+(1)/(4)=5(1)/(4)`

Thus, we have that the quotient of 2 5/8 divided by 1/2 is 5 1/4