A rational number is such that when you multiply it by 5/2 and add 3/2 you get _7/12. What is the number?

Open in App

Solution

Let the rational number = x

x is multiplued with 5/2 = 5x / 2

According to the problem given,

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

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

5x/2 = ( -7 - 8 ) / 12

5x / 2 = -15 / 12

x = ( - 15 / 12 ) × ( 2 / 5 )

x = - 30 / 60

x = - 1 / 2

Therefore,

Required rational number = x = - 1/2

Suggest Corrections

Similar questions

Q. A rational number is such that when you multiply it by

\frac{5}{2}

and add

\frac{2}{3}

to the product, you get

- \frac{7}{12}

. What is the number?

Q. A rational number's such that when you multiply it by

\frac{5}{2}

and add

\frac{2}{3}

to the product, you get

\frac{- 7}{12}

. What is the number?

Question 13
A rational number is such that when you multiply it by $\frac{5}{2}$ and add $\frac{2}{3}$ to the product, you get $- \frac{7}{12}$ . What is the number?

Question 13
A rational number is such that when you multiply it by $\frac{5}{2}$ and add $\frac{2}{3}$ to the product, you get $- \frac{7}{12}$ . What is the number?

A rational number is such that when you multiply it by 5 upon 2 and add two upon three to the product you get _7\12 what is the number

Join BYJU'S Learning Program

A rational number is such that when you multiply it by 5/2 and add 3/2 you get _7/12. What is the number?

Let the rational number = x x is multiplued with 5/2 = 5x / 2 According to the problem given, 5x/2 + 2/3 = - 7/12 5x/2 = -7/12 - 2/3 5x/2 = ( -7 - 8 ) / 12 5x / 2 = -15 / 12 x = ( - 15 / 12 ) × ( 2 / 5 ) x = - 30 / 60 x = - 1 / 2 Therefore, Required rational number = x = - 1/2

Let the rational number = x

x is multiplued with 5/2 = 5x / 2

According to the problem given,

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

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

5x/2 = ( -7 - 8 ) / 12

5x / 2 = -15 / 12

x = ( - 15 / 12 ) × ( 2 / 5 )

x = - 30 / 60

x = - 1 / 2

Therefore,

Required rational number = x = - 1/2