# Which of the following is not true

(a) 2/3 + 5/4 = 5/4 + 2/3

(b) 2/3 - 5/4 = 5/4 - 2/3

(c) 2/3 × 5/4 = 5/4 × 2/3

(d) 2/3 ÷ 5/4 = 2/3 × 4/5

**Solution:**

Given the options, we need to choose which of them is false equation

(a) 2/3 + 5/4 = 5/4 + 2/3

If we take LCM of the fractions

8 + 15 / 12 = 15 + 8 /12

23/12 = 23/12

Hence, this is true

(b) 2/3 - 5/4 = 5/4 - 2/3

If we take LCM of the fractions

8 - 15 /12 = 15 - 8 /12

-7/12 = 7/12

Hence, this is not true

(c) 2/3 × 5/4 = 5/4 × 2/3

We know that fractions exhibit commutative property of multiplication

10/12 = 10/12

Hence, this is true

(d) 2/3 ÷ 5/4 = 2/3 × 4/5

We know that when a fraction is divided by another fraction, then the result is the product of first

fraction with the reciprocal of second fraction

Hence, this is true

So, the only option which is not true is option(b)

**✦ Try This:** Which of the following is not true? (a) 2/3 + 1/3 = 1/3 + 2/3, (b) 2/3 - 1/3 = 1/3 - 2/3, (c) 2/3 × 1/3 = 1/3 × 2/3, (d) 2/3 ÷ 1/3 = 2/3 × 3

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 1

**NCERT Exemplar Class 8 Maths Chapter 1 Sample Problem 1**

## Which of the following is not true (a) 2/3 + 5/4 = 5/4 + 2/3, (b) 2/3 - 5/4 = 5/4 - 2/3, (c) 2/3 × 5/4 = 5/4 × 2/3, (d) 2/3 ÷ 5/4 = 2/3 × 4/5

**Summary:**

Out of the given options, only option (b) is not true

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