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Answer 1

7.

Dividend = Divisor(Quotient) + remainder

Let us assume the remainder is 0 as it exactly divides.

Let Divisor be x

$\frac{5}{12} = 1 \frac{17}{18} (x)$

$\frac{5}{12} = \frac{35}{18}(x)$

$x = \frac{5}{12} \times \frac{18}{35} = \frac{3}{14}$

So, we should divide 5/12 by 3/14 to get the mixed fraction quotient.

8.

Let the number of students be x.

No. of students - No.of Boys = No.of Girls

x - (5/9)x = 512

(9x-5x)/9 = 512

4x = 512×9

x = 1152

No.of boys = (5/9)(1152) = 640

There are 640 boys.

9.

Let the unknown fraction be x.

x × (7/2) = 5/6

x = (5/6)/(7/2)

x = (5/6) × (2/7)

x = 10/42 = 5/21

The fraction is 5/21

Answer 2

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