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Simplify -2 4/5 - -7 2/3​
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Simplify -2 4/5 - -7 2/3​

User Neifen
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1 Answer

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let's firstly convert the mixed fractions to improper fractions.


\stackrel{mixed}{2(4)/(5)}\implies \cfrac{2\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{14}{5}}~\hfill \stackrel{mixed}{7(2)/(3)} \implies \cfrac{7\cdot 3+2}{3} \implies \stackrel{improper}{\cfrac{23}{3}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{14}{5}-\left(-\cfrac{23}{3} \right)\implies -\cfrac{14}{5}+\cfrac{23}{3}\implies \cfrac{-(3)14~~ + ~~(5)23}{\underset{\textit{using this LCD}}{15}} \\\\\\ \cfrac{-42+115}{15}\implies \cfrac{73}{15}\implies 4(13)/(15)

User Andygavin
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