Salil want to put a picture in a frame $7 \frac{3}{5}$ cm wide. To fit in the frame he picture cannot be more than $7 \frac{3}{10}$ cm wide. How much should the picture be trimmed ?

Given :

Width of picture = $7 \frac{3}{5}$ cm.

Width of frame = $7 \frac{3}{10}$ cm.

To find :

We have to find How much should the picture be trimmed to fit into the frame.

Solution :

$ Picture to be trimmed = Width of picture - Width of frame$

$ Picture to be trimmed = 7 \frac{3}{5} - 7 \frac{3}{10}$

                                         $= \frac{5\times 7 + 3}{5} - \frac{10\times 7 + 3}{10}$

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

Take LCM, 

LCM of 5 and 10 is 10.

                                      $ = \frac{38\times2}{5\times 2} - \frac{73}{10}$

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

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

                                       $ = \frac{3}{10}$

Therefore,  $\frac{3}{10}$ cm of the picture should be trimmed.

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Updated on: 10-Oct-2022

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