The result of the expression as a mixed fraction is -1 5/12
Given the expression
[tex]1\frac{1}{2}+\frac{3}{4}\div (-\frac{1}{3} ) -\frac{2}{3}[/tex]
Write as an improper fraction
[tex]\frac{3}{2}+\frac{3}{4}\div (-\frac{1}{3} ) -\frac{2}{3}[/tex]
Using the PEDMAS rule;
[tex]=\frac{3}{2}+(\frac{3}{4}\div (-\frac{1}{3} )) -\frac{2}{3}\\=\frac{3}{2}+(\frac{3}{4}\times -3) -\frac{2}{3}\\=\frac{3}{2}-(\frac{9}{4}) -\frac{2}{3}\\[/tex]
Find the LCM of the result
[tex]=\frac{18-27-8}{12}\\= \frac{-17}{12}\\= -1\frac{5}{12}[/tex]
Hence the result of the expression as a mixed fraction is -1 5/12
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