In the diagram below what fraction of row A is shaded? In the same diagram what fraction of column R is shaded? Using the diagram, or otherwise, calculate the result when your fractions in part (i) and part (ii) are multiplied - Junior Cycle Mathematics - Question 4 - 2014

Column R consists of 7 boxes, and 5 of those boxes are shaded. Thus, the fraction of column R that is shaded is $\frac{5}{7}.$

To find the result of multiplying the fractions from parts (i) and (ii):

$\frac{3}{4} \times \frac{5}{7} = \frac{15}{28}.$ The total number of boxes is 28, and the shaded area corresponds to 15 out of those.

Tim is incorrect. The shaded areas represent different fractions.

In strip A, $\frac{3}{5}$ is shaded, while in strip B, $\frac{2}{3}$ is shaded. Since $\frac{3}{5}$

and $\frac{2}{3}$ are not equal, the fractions are not the same.