# Verify that the ratio of 3 to 4 and the ratio of 4 to 3 the same number.

The product of a number and its inverse is equal to 1.

## Answer: The ratio of 3 to 4 and the ratio of 4 to 3 are not the same, but are inverse of each other.

Go through the explanation to understand better.

**Explanation:**

To verify that 3/4 is the same as 4/3.

Let 3/4 = a ------------ (1)

Multiplying both sides by 4, we get:

3 = 4a

taking inverse on both sides, we get:

⇒ 1/3 = 1/4a

Multiplying by 4 on both the sides, we get:

⇒ 4/3 = 1/a ------------ (2)

Thus, from (1) and (2) we see 3/4 and 4/3 as 'a' and '1/a' respectively.

'1/a' is the inverse of 'a'. Thus, 4/3 is the inverse of 3/4 and not equal to each other.

### Since a is not equal to its inverse unless the value of a is 1, so 3/4 and 4/3 cannot be the same.

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