1. Which of the drawings (a) to (d) show:

(i) 2 × ¹/₅ (ii) 2 × ¹/₂ (iii) 3 × ²/₃ (iv) 3 × ¹/₄

(insert image)

Solution:

(i) 2 × ¹/₅ represent the addition of two figures, in which 1 shaded part out of the 5 equal parts of the figure.

Hence, it represents drawing (d)

(ii) 2 × ¹/₂ represent the addition of two figures, in which 1 shaded part out of the 2 equal parts of the figure.

Hence, it represents drawing (b)

(iii) 3 × ²/₃ represent the addition of 3 figures, in which 2 shaded parts out of the 3 equal parts of the figure.

Hence, it represents drawing (a)

(iv) 3 × ¹/₄ represent the addition of 3 figures, in which 1 shaded part out of the 4 equal parts of the figure.

Hence, it represents drawing (c)

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

Solution:

(i) It represents drawing (c)

(ii) It represents drawing (a)

(iii) It represents drawing (b)

3. Multiply and reduce to lowest form and convert into a mixed fraction: