Multiplying and Dividing Rational Numbers

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

The product of two negative numbers is positive.

The product of a positive number and a negative number is negative.

To multiply fractions, multiply the numerators together and the denominators together. For example, $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ .

The result of dividing a number by itself (except zero) is 1.

The sign of the product of two positive numbers is positive.

The result is $$\frac{64}{81}$$ .

First convert $$3\frac{3}{4}$$ to an improper fraction: $$\frac{15}{4}$$ . Then multiply: $$\frac{15}{4} \times \frac{1}{2} = \frac{15}{8}$$ .

The result is $$\frac{1}{3}$$ .

When you divide a negative number by a negative number, the result is positive.