Question

How can you show that two fractions are reciprocals?

Subtract the fraction from its reciprocal. Their difference will be 1.
Divide a fraction by its reciprocal. This will show that the quotient is always 1.
Multiply a fraction by its reciprocal to show that their product is always 1.
Add the fraction and its reciprocal. Their sum will be 1.

Answer 1

To show that two fractions are reciprocals, you can multiply them together and check if the product is equal to 1. That is, if we have two fractions a/b and b/a, their product is:

(a/b) * (b/a) = ab / ba = 1

Therefore, if the product of two fractions is equal to 1, they are reciprocals of each other.

For example, let's say we have the fractions 2/5 and 5/2. We can multiply them together to check if they are reciprocals:

(2/5) * (5/2) = 1

Since the product is equal to 1, we can conclude that 2/5 and 5/2 are reciprocals of each other.