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Question

Q. 1) simplify : 12/25 x 10/18 x 15/8

Q 2 ) Divide the sum of the following fractions :

3/2 and 5/7 by their difference

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Solution

1.

(2*2*3)*(2*5)*(3*5) / (5*5)*(3*3*2)*(2*2*2)

= 1/2


2.

Given,
3/2 and 5/7

Sum of fractions:-
3/2+5/7
=21/14+10/14
=(21+10)/14
=31/14

Difference:-
3/2-5/7
=21/14-10/14
=(21-10)/14
=11/14

Dividing the sum of fractions by their difference:-
=(31/14)/(11/14)
=31/14×14/11
=31/11

Answer is 31/11

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