Question

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

Answer 1

Answer:

-1/2

Step-by-step explanation:

Answer 2

AnswEr :

-1/2.

$\bf{\large{\underline{Given\::}}}$

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

$\bf{\large{\underline{To\:find\::}}}$

The number.

$\bf{\large{\underline{Explanation\::}}}$

Let the rational number be R

A/q

$\leadsto\sf{R\times \dfrac{5}{2} +\dfrac{2}{3} =\dfrac{-7}{12} }\\\\\\\\\leadsto\sf{\dfrac{5R}{2} +\dfrac{2}{3} =\dfrac{-7}{12} }\\\\\\\\\leadsto\sf{\dfrac{5R}{2} =\dfrac{-7}{12} -\dfrac{2}{3} }\\\\\\\\\leadsto\sf{\dfrac{5R}{2} =\dfrac{-7-8}{12}\:\:\:\:\:\: \underbrace{\tt{L.C.M\:of\:12\:and\:3}}} }\\\\\\\\\leadsto\sf{\dfrac{5R}{2} =\dfrac{-15}{12} }\\\\\\\\\leadsto\sf{60R = -30\:\:\:\:\:\:\:\:\:\underbrace{\tt{Cross-multiplication}}}\\\\\\\\\leadsto\sf{R=\cancel{\dfrac{-30}{60} }}}$

$\leadsto\sf{\red{R=-\dfrac{1}{2} }}$

∴The rational number is -1/2.