Question

A rational number is such that when you multiply it by 5/2 and 2/3 to the product, you get -7/12. what is the number

Answer 1

Let x be the rational number ,
5/2 x +2/3 =-7/12 
The LCM of 2,3 and 12 is 12,so multiplying by 12
30x+8=-7
Transposing 8 to R.H.S, we obtain
30x=-15
Dividing by 30 on both the sides
x=-1/2