Question

a rational number is such that when you multiple it by 5/2and add 2/3 to the product, you get -7/12 what is the number

Answer 1

Let that number be a.

(a×5/2) + 2/3 = -7/12

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

5a/2 = -7/12 - 2/3

5a/2 = -7 - 2x4 ÷ 12

5a/2 = -7-8 ÷ 12

5a/2 = 15/12

5a = 15 x 2 ÷ 12

5a = 30/12

a = 30 ÷ 5 x 12 = 30÷60 = 1/2

a = 0.5 = 1/2

Answer 2

Hola Mate!!

Here's your answer :-

Let the rational no. be x.

ATQ :-
$( \frac{5}{2} \times x) + \frac{2}{3} = \frac{ - 7}{12} \\ = > \frac{5x}{2} + \frac{2}{3} = \frac{ - 7}{12} \\ = > \frac{15x + 4}{6} = \frac{ - 7}{12} \\ = > 12(15x + 4) = - 7 \times 6 \\ = > 180x + 48 = - 42 \\ = > 180x = - 42 - 48 \\ = > 180x = - 90 \\ = > x = \frac{ - 90}{180} \\ = > x = \frac{ - 1}{2}$

$thus \: the \:rational \: no. \: is \: \frac{ - 1}{2} .$
Hope it helps
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