# Does the following pair represent equivalent rational numbers ? -2/-3 and -16/24

**Solution:**

Given, the rational numbers are -2/-3 and -16/24

We have to determine if the pair represents an equivalent rational number.

Considering -2/-3,

-2/-3 can be simplified to standard form

On multiplying the numerator and denominator b y (-1),

-2/-3 = -2(-1)/-3(-1)

= 2/3 ------------------- (1)

Considering -16/24,

We know that, to reduce the rational number to its standard form, we divide its numerator and denominator by their HCF

16 = 2 × 2 × 2 × 2

24 = 2 × 2 × 2 × 3

HCF of 16 and 24 = 2 × 2 × 2 = 8

-16/8 = -2

24/8 = 3

So, -16/24 in standard form = -2/3

Therefore, -2/-3 and -16/24 does not represent an equivalent rational number.

**✦ Try This: **Does the following pair represent equivalent rational numbers ? -3/-5 and -24/40

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 9

**NCERT Exemplar Class 7 Maths Chapter 8 Sample Problem 11(ii)**

## Does the following pair represent equivalent rational numbers ? -2/-3 and -16/24

**Summary:**

The given pair -2/-3 and -16/24 does not represent an equivalent rational number

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