How many glasses of $ \frac{3}{4}$ L can be filled from a jar containing $ 4 \frac{1}{2}$ L of juice?

Given: Capacity of one glass = $\frac{3}{4}$ L

Capacity of a jar  = $4 \frac{1}{2}$ L

Number of glasses  =  Capacity of a jar $\div$ Capacity of one glass

$4 \frac{1}{2}  =  \frac{4 \times2 + 1}{ 2}  =  8 + \frac{1}{ 2}  =  \frac{9 }{ 2}$                (Converting to normal fraction)

Number of glasses  =  $\frac{\frac{9}{ 2}}{  \frac{3}{4}}$

                                       =$\frac{  9}{ 2} \times\frac{ 4 }{ 3}$

                                       =  $\frac{9 \times 4 }{ 2 \times 3}$

                                        =   $\frac{36}{ 6}$

Therefore,  the number of glasses  =  6                            

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Updated on: 10-Oct-2022

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