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).