Question

verify the following statement:- 3/4×(2/3-1/4)=3/4 × 2/3 - 3/4× 1/4​

Answer 1

Answer:

The statement is true.

Step-by-step explanation:

The statement is absolutely true. The above example is of a property in which we take common term.

Verification :

Let's first take LHS :

3/4×(2/3-1/4) = 3/4 × (8/12 - 3/12) = 3/4 × 5/12 = 1/4 × 5/4 = 5/16

Hence, LHS = 5/16

Now let's take RHS :

3/4 × 2/3 - 3/4× 1/4 = 1/2 - 3/16 = 8/16 - 3/16 = 5/16

Hence, RHS = 5/16

Clearly, LHS = RHS = 5/16

So,

3/4×(2/3-1/4) = 3/4 × 2/3 - 3/4× 1/4​

Hence, verified.