# Write four more rational numbers to complete the pattern:

-1/3, -2/6, -3/9, ______, ______, _______, _______.

**Solution:**

Given, the rational numbers are -1/3, -2/6, -3/9,....

We have to complete the pattern with four more rational numbers.

From the pattern we observe that the denominator is a multiple of 3.

-1/3 = (-1) × 1 / (3 × 1)

-2/6 = (-1) × 2 /(3 × 2)

If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given rational number.

On multiplying the numerator and denominator by 4,

-1/3 × 4/4 = (-1) × 4 / 3 × 4 = -4/12

On multiplying the numerator and denominator by 5,

-1/3 × 5/5 = (-1) × 5 / 3 × 5 = -5/15

On multiplying the numerator and denominator by 6,

-1/3 × 6/6 = (-1) × 6 / 3 × 6 = -6/18

On multiplying the numerator and denominator by 7,

-1/3 × 7/7 = (-1) × 7 / 3 × 7 = -7/21

Therefore, the four more rational numbers to complete the pattern are -4/12, -5/15, -6/18 and -7/21.

**✦ Try This: **Does the following pair represent equivalent rational numbers? 2/3 and 16/24

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

**NCERT Exemplar Class 7 Maths Chapter 8 Sample Problem 12**

## Write four more rational numbers to complete the pattern: -1/3, -2/6, -3/9, ______, ______, _______, _______.

**Summary:**

The four more rational numbers to complete the pattern are -1/3, -2/6, -3/9, -4/12, -5/15, -6/18 and -7/21

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