Question

a rational number is such that when you multiples it by 5_2 and ab+2_3 to the product you get-7_2 what is the number​

Answer 1

Answer:

Let the rational number be x.

According to the question, \frac{5}{2}x+\frac{2}{3}=-\frac{7}{12}

\Rightarrow\ \frac{5}{2}x+\frac{2}{3}-\frac{2}{3}=-\frac{7}{12}-\frac{2}{3}

[Subtracting \frac{2}{3} from both sides]

\Rightarrow\ \frac{5x}{2}=\frac{-7-8}{12}

\Rightarrow\ \frac{5x}{2}=\frac{-15}{12}

\Rightarrow\ 5x\times12=-15\times2

\Rightarrow60x=-30

\Rightarrow\ \frac{60x}{60}=\frac{-30}{60}

[Dividing both sides by 60]

\Rightarrow\ x=\ \frac{-1}{2}

Hence, the rational number is \frac{-1}{2}