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25 votes
25 votes
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.

Use fraction model to solve number 1. Then solve numbers 2-5 with the strategy of-example-1
User Asur
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1 Answer

14 votes
14 votes

Answer:


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

User Somputer
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