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(a) (i) Provide the number in the box, such that $\frac{2}{3} \times$ [[1]] = 10/30
(ii) The simplest form of the number obtained in [[2]] is [[3]].
(b) (i) Provide the number in the box, such that $\frac{3}{5} \times$ [[4]] = 24 / 75
(ii) The simplest form of the number obtained in [[5]] is [[6]].

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answer is 5/10, 8/15, 1/2.

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Detailed Solution

(a)

(i) 2/3 × _ = 10/30

2/3 × 5/10 = 10/30

Therefore, the number in the box is 5/10

(ii)

The simplest form of 5/10 = 1/2

(b)

(i) 3/5 × _ = 24/75

3/5 × 8/15 = 24/75

Therefore, the number in the box is 8/15

(ii)

The simplest form of the number 8/15 = 8/15

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