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7 2/3-4 1/4 help please

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


\stackrel{mixed}{7(2)/(3)}\implies \cfrac{7\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{23}{3}}~\hfill \stackrel{mixed}{4(1)/(4)} \implies \cfrac{4\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{17}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{23}{3}-\cfrac{17}{4}\implies \cfrac{(4)23~~ - ~~(3)17}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{92~~ - ~~51}{12}\implies \cfrac{41}{12}\implies 3(5)/(12)

User Saurabh Deshpande
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