Question

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

Answer 1

Step-by-step explanation:

let the number= K

accordingly sum

$k \times \frac{5}{2} + \frac{2}{3} = - \frac{7}{12}$

$k \times \frac{5}{2} = - \frac{7}{12} - \frac{2}{3}$

$k \times \frac{5}{2} = - \frac{15}{12}$

$k = - \frac{15}{12} \times \frac{2}{5}$

$k = - \frac{1}{2}$

Answer 2

Answer:

LET THE NO. BE X

ACC. TO QUES,

5/2×X=5/2X

5/2X+2/3= -7/12

15X+4/6= -7/12

15X+4= -7/12×6

15X+4= -42/12

15X+4= -21/6

15X+4= -7/2

15X= -7/2-4

15X= -14-4/4

15X= -18/4

15X= -9/2

X= -9/2/15

X= -135/2

X= -67.5