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1/4 of Mai’s height is equal to 2/5 of Jon’s height. Find the ratio of Mai’s height to Jon’s height.

 Jul 25, 2019
 #1
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Let Mai's height  =  m

Let Jon's height  =  j

 

We want to find  \(\frac{m}{j}\)

 

\(\frac14\) of Mai's height - is equal to - \(\frac25\) of Jon's height  
\(\frac14\) of Mai's height = \(\frac25\) of Jon's height

 

 

 

\(\frac14\cdot m\) = \(\frac25\cdot j\)  

 

\(\frac14\cdot m\ =\ \frac25\cdot j\)

                             Multiply both sides of the equation by  4

\(m\ =\ \frac85\cdot j\)

                             Divide both sides of the equation by  j

\(\frac{m}{j}\ =\ \frac85\)

 

The ratio of  m  to  j  is  \(\frac85\)

 Jul 25, 2019

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