Question

Some pictures (a) to (c) are given below. Tell which of them show:
\((a)\)

\((b)\)

\((c)\)

(i) 3 × \(\frac{1}{5}\) =\(\frac{3}{5}\)
(ii) 2 × \(\frac{1}{3}\) =\(\frac{2}{3}\)
(iii) 3 × \(\frac{3}{4}\) = \(\frac{21}{4}\)

Answer 1

(i) 3 × \(\frac{1}{5}\): represents the addition of 3 figures, each representing 1 shaded part out of 5 equal parts and \(\frac{3}{5}\)represents 3 shaded parts out of 5 equal parts. Hence, 3 × \(\frac{1}{5}\) = \(\frac{3}{5}\) is represented by (c).
(ii) 2 × \(\frac{1}{3}\) : represents the addition of 2 figures, each representing 1 shaded part out of 3 equal parts and \(\frac{2}{3}\) represents 2 shaded parts out of 3 equal parts. Hence, 2 × \(\frac{1}{3}\) = \(\frac{2}{3}\) is represented by (a).
(iii) 3 × \(\frac{3}{4}\) : represents the addition of 3 figures, each representing 3 shaded parts out of 4 equal parts and represents 2 fully shaded figures and one figure having 1 part as shaded out of 4 equal parts. Hence, 3 ×\(\frac{3}{4}\) = \(\frac{21}{4}\) is represented by (b).