# Which of the following pairs represent the same rational number?

(i) −7/21 and 3/9

(ii) −16/20 and 20/(−25)

(iii) −2/(−3) and 2/3

(iv) −3/5 and −12/20

(v) 8/(−5) and −24/15

(vi) 1/3 and −1/9

(vii) −5/(−9) and 5/(−9)

**Solution:**

We will reduce the rational numbers to the lowest or simplest form.

By reducing them to the simplest form we can easily compare the rational numbers.

(i) -7/21 and 3/9

On reducing them to the simplest form, we get

-7/21 = -1/3 and 3/9 = 1/3

Since, -1/3 ≠ 1/3

Therefore, -7/21 and 3/9 does not represent the pair of same rational numbers.

(ii) -16/20 and 20/(-25_

On reducing them to the simplest form, we get

-16/20 = -4/5 and 20/(-25) = 4/(-5)

Since, -4/5 = 4/(-5)

Therefore, -16/20 and 20/(-25) represents the pair of same rational numbers.

(iii) -2/(-3) and 2/3

On reducing them to the simplest form, we get

-2/(-3) = 2/3 and 2/3 = 2/3

Since, -2/-3 = 2/3

Therefore, -2/(-3) and 2/3 represents the pair of same rational numbers.

(iv) -3/5 and -12/20

On reducing them to the simplest form, we get

-3/5 = -3/5 and -12/20 = -3/5

Since, -3/5 = -3/5

Therefore, -3/5 and -12/20 represent the pair of same rational numbers.

(v) 8/(-5) and -24/15

On reducing them to the simplest form, we get

8/(-5) = -8/5 and -24/15 = -8/5

Since, 8/-5 = -8/5

Therefore, 8/-5 and -24/15 represent the pair of same rational numbers.

(vi) 1/3 and -1/9

On reducing them to the simplest form, we get

1/3 = 1/3 and -1/9 = -1/9

Since 1/3 ≠ -1/9

Therefore, 1/3 and -1/9 does not represent the pair of same rational numbers.

(vii) -5/(-9) and 5/(-9)

On reducing them to the simplest form, we get

-5/(-9) = 5/9 and 5/(-9) = -5/9

Since, 5/9 ≠ -5/9

Therefore, -5/-9 and 5/-9 does not represent the pair of the same rational numbers.

**Video Solution:**

## Which of the following pairs represent the same rational number? (i) −7/21 and 3/9 (ii) −16/20 and 20/−25 (iii) −2/−3 and 2/3 (iv) −3/5 and −12/20 (v) 8/−5 and −24/15 (vi) 1/3 and −1/9 (vii) −5/−9 and 5/−9

### Class 7 Maths NCERT Solutions - Chapter 9 Exercise 9.1 Question 6

**Summary:**

(i) -7/21 and 3/9 does not represent the pair of same rational numbers. (ii) -16/20 and 20/-25 represents the pair of same rational numbers. (iii) -2/-3 and 2/3 represents the pair of same rational numbers. (iv) -3/5 and -12/20 represent the pair of same rational numbers. (v) 8/-5 and -24/15 represent the pair of same rational numbers. (vi) 1/3 and -1/9 does not represent the pair of the same rational numbers. (vii) -5/-9 and 5/-9 does not represent the pair of same rational numbers.