Dividing by Fractions and Mixed Numbers

Warm-Up! Multiplying & Dividing Fractions & Mixed Numbers

Multiplying Fractions Review

• Multiplying fractions is no problem. Top times top and bottom times bottom. Before you say goodbye, don't forget to simplify!

•  $\frac{3}{4}\ \times\ \frac{2}{5}\ =\ \frac{6}{20}\ \div\ 2\ =\ \frac{3}{10}$  

Dividing Fractions Review

• First, change any whole numbers to fractions and any mixed numbers to improper fractions.

• KEEP the first fraction

• CHANGE to multiplication

• FLIP the second fraction (reciprocal)

• SOLVE the multiplication problem

•  $4\ \div\ \frac{2}{3}\ ->\ \frac{4}{1}\ \times\frac{3}{2}\ =\ \frac{12}{2}\ =\ 6$  

Don't Forget to Change Mixed Numbers to Improper Fractions Before You Multiply or Divide!

Denominator x Numerator + Whole Number

 $2\ \frac{3}{4}\ =\ \frac{11}{4}$  

Fill in the Blank

$$3\ \frac{1}{2\ }\ \times\ 4\ \frac{2}{5}$$  

Fill in the Blank

$$1\ \frac{2}{3}\ \div\ \frac{1}{5}$$  

Fill in the Blank

$$7\ \div\ \frac{4}{5}$$