Lesson 4.4 Assignment: Multiplying and Dividing Mixed Numbers

A mixed number is a whole number combined with a fraction, such as $$2\frac{3}{4}$$ .

To multiply mixed numbers, first convert them to improper fractions, then multiply the fractions, and finally convert back to a mixed number if needed.

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of $$\frac{5}{6}$$ is $$\frac{6}{5}$$ .

To divide mixed numbers, convert them to improper fractions, multiply by the reciprocal of the second fraction, and simplify if necessary.

The product is $$9\frac{1}{6}$$ .

The quotient is $$3\frac{2}{15}$$ .

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

The first step in multiplying fractions is to multiply the numerators together and the denominators together.

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

$$\frac{1}{2}$$ is already a proper fraction and cannot be expressed as a mixed number.