Question

Out of Retries Correct Answer Show Enter an estimate. Round each mixed number to the nearest whole in your estimate. 1 WIN Estimate: 0 Find the difference and enter it in simplest form. 3

Answer 1

The mixed fraction are simplify as :

`a(b)/(c)=((a* c)+b)/(c)`

The given expression is :

`5(1)/(4)-3(8)/(9)`

Simplify the mixed fraction:

`\begin{gathered} 5(1)/(4)-3(8)/(9) \\ 5(1)/(4)-3(8)/(9)=((5*4)+1)/(4)-((3*9)+8)/(9) \\ 5(1)/(4)-3(8)/(9)=(21)/(4)-(35)/(3) \end{gathered}`

LCM of ( 4 & 3 ) is 12 So,

`\begin{gathered} 5(1)/(4)-3(8)/(9)=(21)/(4)-(35)/(3) \\ 5(1)/(4)-3(8)/(9)=5.25-11.6667 \\ 5(1)/(4)-3(8)/(9)=5-11 \\ 5(1)/(4)-3(8)/(9)=-6 \end{gathered}`

Answer :

a)

`\begin{gathered} 5(1)/(4)-3(8)/(9)\text{ can be express as :} \\ \text{Estimate : 5 - 11 =- 6} \end{gathered}`

b)

Diffreence is :

`\text{ 5}(1)/(4)\text{ - 3}(8)/(9)\text{ = }-6`