Question

Use fraction model to solve number 1. Then solve numbers 2-5 with the strategy of your choice.I kinda forgot how to add fractions and this is past due it would be a miracle for you tell help me.

Answer 1

`9(11)/(15)`

Explanations:

Given the sum of the mixed fractions expressed as:

`4(2)/(5)+5(2)/(6)`

Convert the mixed fraction into improper fraction;

`\begin{gathered} =\lbrack((4*5)+2)/(5)\rbrack+\lbrack((5*6)+2)/(6)\rbrack \\ =(\frac{20+2_{}}{5})+((30+2)/(6)) \\ =(22)/(5)+(32)/(6) \end{gathered}`

Find the Least common multiple of the denominators

`\begin{gathered} =(6(22)+5(32))/(30) \\ =(132+160)/(30) \\ =(292)/(30) \\ =(146)/(15) \end{gathered}`

Convert the resulting improper fraction back to mixed fraction;

`(146)/(15)=9(11)/(15)`

Therefore the required sum of the mixed fractions is 9 11/15