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6. Salil wants to put a picture in a frame. The picture is 7*3/5 cm wide.​

Answer»

\large{\underline{\rm{\green{\bf{Correct \: Question:-}}}}}

Salil WANTS to put a PICTURE in a frame. The picture is \sf 7\dfrac{3}{4} \: <klux>CM</klux> wide. To fit the frame in the picture cannot be more than \sf 7 \dfrac{3}{10} \: cm wide. How much should be the picture be trimmed?

\large{\underline{\rm{\green{\bf{Given:-}}}}}

Width of the picture =  \sf 7\dfrac{3}{4} \: cm = \dfrac{38}{5} \: cm

Width of the frame = \sf 7 \dfrac{3}{10} \: cm=\dfrac{73}{10} \: cm

\large{\underline{\rm{\green{\bf{To \: Find:-}}}}}

Length of the picture that should be trimmed.

\large{\underline{\rm{\green{\bf{Solution:-}}}}}

Given that,

Width of the picture =  \sf 7\dfrac{3}{4} \: cm = \dfrac{38}{5} \: cm

Width of the frame = \sf 7 \dfrac{3}{10} \: cm=\dfrac{73}{10} \: cm

∴ The picture should be trimmed by = \sf \bigg[ \bigg(\dfrac{38}{5}- \dfrac{73}{10}  \bigg) \bigg]

The LCM of 5, 10 = 10

So, LCM = 10

Now, change each of the given FRACTION into an equivalent fraction having 10 as the denominator.

\sf = \bigg[ \bigg( \dfrac{38}{5} \times \dfrac{2}{2}  \bigg) \bigg] - \bigg[ \bigg( \dfrac{73}{10} \times \dfrac{1}{1}  \bigg) \bigg]

\sf = \bigg( \dfrac{76}{10} \bigg) - \bigg( \dfrac{73}{10} \bigg)

\sf = \dfrac{(76-73)}{10}

\sf = \underline{\underline{\dfrac{3}{10} \: cm}}

Thus, the picture should be trimmed by (3/10) cm



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