Question

Why does dividing by a tion mean multiplying by its reverse?

a. It is a rule derived from the properties of multiplication.
b. It is a mathematical convention to simplify calculations.
c. It is a fundamental principle in tion manipulation.
d. It is an arbitrary rule with no mathematical basis.

Answer 1

Dividing by a fraction is the same as multiplying by its reciprocal, and this rule can be derived from the properties of multiplication.

Step-by-step explanation:

The rule that dividing by a fraction is the same as multiplying by its reverse can be derived from the properties of multiplication. When multiplying fractions, we multiply the numerators together to get the numerator of the product and multiply the denominators together to get the denominator of the product. Dividing by a fraction is the same as multiplying by its reciprocal, which is obtained by swapping the numerator and the denominator.