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Question

Mathematics Question on Properties Of Division Of Integers

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

(b)(b)

(c)(c)

(d)(d)

(i) 2 × 15\frac{1}{5}
(ii) 2 × 12\frac{1}{2}
(iii) 3 × 23\frac{2}{3}
(iv) 3 × 14\frac{1}{4}

Answer

(i) 2 × 15\frac{1}{5} = represents the addition of 2 figures, each representing 1 shaded part out of 5 equal 2 × 15\frac{1}{5} parts. Hence, is represented by (d).
(ii) 2 × 12\frac{1}{2} = represents the addition of 2 figures, each representing 1 shaded part out of 2 equal 2 × 12\frac{1}{2} parts. Hence, is represented by (b).
(iii) 3 × 23\frac{2}{3} = represents the addition of 3 figures, each representing 2 shaded parts out of 3 equal 3 × 23\frac{2}{3} parts. Hence, is represented by (a).
(iv) 3 × 14\frac{1}{4} = represents the addition of 3 figures, each representing 1 shaded part out of 4 equal 3 × 14\frac{1}{4} parts. Hence, is represented by (c).