Question

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

Answer 1

From the given details we get to know that picture having a width of = $7\frac{3}{5}$=$\frac{38}{5}cm$

Frame having a width of = $7\frac{3}{10}$=$\frac{73}{10}cm$

∴The picture should be trimmed by = $\left(\frac{38}{5}\right)-\left(\frac{73}{10}\right)$

We will convert the above fractions into like fractions by taking LCM

The LCM of$5,10=10$

Converting the given fraction into an equivalent fraction having $10$ as the denominator.

$$\begin{gathered} =\left[\left(\frac{38}{5}\right)\times \left(\frac{2}{2}\right)\right]-\left[\left(\frac{73}{10}\right)\times \left(\frac{1}{1}\right)\right] \\ =\left(\frac{76}{10}\right)-\left(\frac{73}{10}\right) \\ =\frac{(76-73)}{10} \\ =\frac{3}{10} \end{gathered}$$

Hence, the picture should be trimmed by$\frac{3}{10}cm$