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Finding quotient 5/7 and 30/49

 Mar 17, 2016

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 #1
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Need help

Finding quotient 5/7 and 30/49

 

\(\begin{array}{rcll} \dfrac{ \frac{5}{7} } { \frac{30}{49} } &=& \dfrac{ \frac{5}{7} } { \frac{6\cdot 5}{7\cdot 7} } \\\\ &=& \dfrac{ \frac{5}{7} \cdot \frac{7}{5} } { \frac{6 }{7 } } \\\\ &=& \dfrac{ 1 } { \frac{6 }{7 } } \\\\ &=& \dfrac{7 }{6 } \\\\ \end{array}\)

 

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 Mar 17, 2016
 #1
avatar+26387 
+30
Best Answer

Need help

Finding quotient 5/7 and 30/49

 

\(\begin{array}{rcll} \dfrac{ \frac{5}{7} } { \frac{30}{49} } &=& \dfrac{ \frac{5}{7} } { \frac{6\cdot 5}{7\cdot 7} } \\\\ &=& \dfrac{ \frac{5}{7} \cdot \frac{7}{5} } { \frac{6 }{7 } } \\\\ &=& \dfrac{ 1 } { \frac{6 }{7 } } \\\\ &=& \dfrac{7 }{6 } \\\\ \end{array}\)

 

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heureka Mar 17, 2016
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15 divided 5/6

next step I add 1 under 15

15/1 x 5/6 ???

 Mar 17, 2016
 #3
avatar+118653 
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Hi Guest,

15 divided 5/6

 

\(15 \div \frac{ 5}{6}\\ =\frac{15}{1} \div \frac{ 5}{6}\\ =\frac{15}{1} \times \frac{ 6}{5}\\ =\frac{\not{15}^3}{1} \times \frac{ 6}{\not{5}^1}\\ =\frac{3}{1} \times \frac{ 6}{1}\\ =\frac{3\times 6}{1 \times 1} \\ =18\)

 

I have put in lots of extra steps to help you to understand.

When you change the divide to a multply you have to turn the second one upside down. :)

Melody  Mar 17, 2016

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