Question

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

Answer 1

Let x be the rational number ,then

5x/2 + 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