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

**Solution:**

Let's form a linear equation for the given problem statement.

Let the rational number be x.

Multiply x by 5/2 and add 2/3 to it to get the result as -7/12.

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

Multiply by 12 on both sides to get rid of denominator

5x × 6 + 2 × 4 = -7

30x + 8 = -7

30x = -15

x = -15/30 = -1/2

Thus, the number is -1/2

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 2

**Video Solution:**

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

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 13

**Summary:**

A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get -7/12. The number is -1/2.

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