Question

A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/13. What is the number ?

Answer 1

-1/2 is the answer

Step-by-step explanation:

Tamanna your answer is wrong the correct answer would be -1/2

Answer 2

Given - Fractions and product

Find - Number

Solution - Let the required number be x.

Representing the given information in mathematical expression, we get -

$\frac{5}{2} x + \frac{2}{3} = - \frac{7}{13}$

Shifting the value from Left Hand Side to Right Hand

$\frac{5}{2} x = - \frac{2}{3} - \frac{7}{13}$

Taking LCM, we get 39. So, solving the expression to find the value of x

$\frac{5}{2} x = - (\frac{2}{3} + \frac{7}{13} )$

Solving the equation using LCM

$\frac{5}{2} x = - \frac{(2 \times 13) + (7 \times 3)}{39}$

Performing addition of the values in bracket

$\frac{5}{2} x = - \frac{(26) + (21)}{39}$

$\frac{5}{2} x = - \frac{47}{39}$

Shifting coefficient of x to Right Hand Side

$x = \frac{- 47 \times 2}{39 \times 5}$

Performing multiplication

$x = - \frac{94}{195}$

$x = - 0.48$

Hence, the number is -0.48.