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# 5 1/3 divided by 1 7/9

+5
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What is 5 and 1/3 divided by 1 and 7/9

Guest Mar 3, 2017
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TheMathGuy  Mar 3, 2017
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+19502
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What is 5 and 1/3 divided by 1 and 7/9

$$\begin{array}{|rcll|} \hline && \dfrac{5 + \frac13 } { 1 + \frac79 } \\\\ &=& \dfrac{ \frac{3\cdot5 + 1}{3} } { \frac{9\cdot 1 + 7}{9} } \\\\ &=& \dfrac{ \frac{16}{3} } { \frac{16}{9} } \\\\ &=& \frac{16}{3} \cdot \frac{9}{16} \\\\ &=& \frac{9}{3} \\\\ &=& 3 \\ \hline \end{array}$$

heureka  Mar 6, 2017