Question

Hello I need help I could figure this problems well.4 6/8 for the first one. so I said NO13/12 for the second one. so I said NO. 5 3/8 for the third one. so I said NO. I could not solve the last one.

Answer 1

Given:

`6(3)/(8)-1(5)/(8)`

step 1: Express each mixed number as improper fractions.

`\begin{gathered} 6(3)/(8)=((6*8)+3)/(8) \\ \Rightarrow(51)/(8) \\ 1(5)/(8)=((1*8)+5)/(8) \\ \Rightarrow(13)/(8) \end{gathered}`

step 2: Find the difference between the fractions.

`\begin{gathered} (51)/(8)-(13)/(8) \\ \text{LCM is 8} \\ \text{thus,} \\ =(51-13)/(8) \\ =(43)/(8) \end{gathered}`

step 3: Expressed the obtained fraction as a mixed number.

`(43)/(8)\Rightarrow5(3)/(8)`

Since the result of the above operation is not equal to

`4(3)/(4)`

The correct choice is No.

Given:

`(7)/(12)+2(1)/(3)+1(5)/(6)`

step 1: Express each mixed number as improper fractions.

`\begin{gathered} 2(1)/(3)=((2*3)+1)/(3)=(7)/(3) \\ 1(5)/(6)=((1*6)+5)/(6)=(11)/(6) \end{gathered}`

step 2: Find the sum of the fractions.

`\begin{gathered} (7)/(12)+(7)/(3)+(11)/(6) \\ \text{LCM is 12} \\ \text{thus,} \\ =(7+28+22)/(12) \\ =(57)/(12) \\ =(19)/(4) \end{gathered}`

step 3: Expressed the obtained fraction as a mixed number.

Thus,

`(19)/(4)\Rightarrow4(3)/(4)`

Since the result of the above operation is

`4(3)/(4)`

The correct choice is Yes.