# 5.  Salil wants to put a picture in a frame. The picture is $7\tfrac{3}{5}$  cm wide. To fit in the frame the picture cannot be more than $7\tfrac{3}{10}$  cm wide. How much should be trimmed?

Given, the width of the picture =  $7\tfrac{3}{5}$ cm.

The maximum width of the picture which can fit in the frame = $7\tfrac{3}{10}$ cm.

Hence The length Salil should trim :

$\Rightarrow 7\tfrac{3}{5}-7\tfrac{3}{10}$

$\Rightarrow \frac{7\times5+3}{5}-\frac{10\times7+3}{10}$

$\Rightarrow \frac{38}{5}-\frac{73}{10}$

Now LCM of 5 and 10 is 10. So, let's make the denominator of both fractions equal to 10. So,

$\Rightarrow \frac{38}{5}\times\frac{2}{2}-\frac{73}{10}\times\frac{1}{1}$

$\Rightarrow \frac{76}{10}-\frac{73}{10}$

$\Rightarrow \frac{76-73}{10}$

$\Rightarrow \frac{3}{10}$

Hence Salil should cut 3/10 cm of the picture in order to fit it in the frame.

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