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What is 3 3/10 divided by 1 4/7 in its lowest form

User Ingve
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1 Answer

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


\stackrel{mixed}{3(3)/(10)}\implies \cfrac{3\cdot 10+3}{10}\implies \stackrel{improper}{\cfrac{33}{10}}~\hfill \stackrel{mixed}{1(4)/(7)} \implies \cfrac{1\cdot 7+4}{7} \implies \stackrel{improper}{\cfrac{11}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{33}{10}/ \cfrac{11}{7}\implies \cfrac{33}{10}* \cfrac{7}{11}\implies \cfrac{7}{10}* \cfrac{33}{11}\implies \cfrac{7}{10}* 3\implies \cfrac{21}{10}\implies {\Large \begin{array}{llll} 2(1)/(10) \end{array}}

User Chayala
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