# Does the following pair represent equivalent rational numbers?

7/12 and 28/48

**Solution:**

Given, the rational numbers are 7/12 and 28/48

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

Considering 7/12,

7/12 is in standard form with a common divisor of numerator and denominator as 1.

Considering 28/48,

28/48 can be further simplified to obtain standard form

28 = 2 × 2 × 7

48 = 2 × 2 × 2 × 2 × 3

HCF of 28 and 48 = 2 × 2 = 4

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

Now, 28/4 = 7

48/4 = 12

So, 28/48 in standard form = 7/12

Therefore, 7/12 and 28/48 are equivalent rational numbers.

**✦ Try This: **Does the following pair represent equivalent rational numbers ? 7/9 and 28/37

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

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

## Does the following pair represent equivalent rational numbers? 7/12 and 28/48

**Summary:**

The given pair 7/12 and 28/48 represents an equivalent rational number

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