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in Number System by (56.3k points)

Simplify:

(i) (12/25) × (15/28) × (35/36)

(ii) (10/27) × (39/56) × (28/65)

(iii) 2 (2/17) × 7 (2/9) × 1 (33/52)

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Best answer

(i) Given (12/25) × (15/28) × (35/36)

= (12 × 15 × 35)/ (25 × 28 × 36)

= (6300/25200)

On simplifying we get

= (1/4)

(ii) Given (10/27) × (39/56) × (28/65)

= (10 × 39 × 28)/ (27 × 56 × 65)

= (10900/98280)

On simplifying we get

= (1/9)

(iii) Given 2 (2/17) × 7 (2/9) × 1 (33/52)

First convert the given mixed fraction into improper fraction then we get

= (36/17) × (65/9) × (85/52)

= (36 × 65 × 85)/ (17 × 9 × 52)

= (198900/7956)

On simplifying we get

= 25

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