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

Answer:

$9\frac{11}{15}$

Explanations:

Given the sum of the mixed fractions expressed as:

$4\frac{2}{5}+5\frac{2}{6}$

Convert the mixed fraction into improper fraction;

$\begin{gathered} =\lbrack\frac{(4\times5)+2}{5}\rbrack+\lbrack\frac{(5\times6)+2}{6}\rbrack \\ =(\frac{20+2_{}}{5})+(\frac{30+2}{6}) \\ =\frac{22}{5}+\frac{32}{6} \end{gathered}$

Find the Least common multiple of the denominators

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

Convert the resulting improper fraction back to mixed fraction;

$\frac{146}{15}=9\frac{11}{15}$

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