Multiplying 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.

To multiply two rational numbers, multiply their numerators together and their denominators together. Simplify the result if possible.

The product of two negative numbers is positive, so (-a)(-b) = ab.

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

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1.

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.

1/2 * 3/4 = 3/8.

Multiplying a fraction by 1 does not change its value; the result is the same fraction.

5/6 * 2/3 = 10/18, which simplifies to 5/9.

Multiply the numerators together and the denominators together, then simplify if necessary.