Assess Yourself

$\frac{11}{6}$
$\frac{22}{12}$
$\frac{13}{7}$
$\frac{8}{33}$

When multiplying fractions, you should cross-cancel where needed, multiply the numerators and then the denominators. Reduce your final answer, if necessary. $\frac{2}{3} \cdot \frac{11}{4} = \frac{22}{12} = \frac{11}{6}$

When multiplying fractions, you should cross-cancel where needed, multiply the numerators and then the denominators. Reduce your final answer, if necessary.

$\frac{5}{3}$
$\frac{3}{5}$
3
5

Reverse the order of the numerator and denominator to create a fraction's reciprocal.

Use skip-dot-flip
Cross-cancel fractions as needed.
Create common denominators.
Make sure that your answer is in simplest form.

This is step 2 when dividing fractions.

This is step 3 when dividing fractions.

You only need common denominators when adding or subtracting fractions.

This is the last step when dividing fractions.

0
1
2
$\frac{1}{2}$

The product of a number and its reciprocal is always 1.

$36 \ \div\ \frac{1}{3}$
$\frac{1}{3} + 36$
$36 - \frac{1}{3}$
$\frac{1}{3} \cdot 36$

This statement will give you the number of carousel horses needed to make 3 groups of 36. The word “of” indicates multiplication.

This statement will tell you how many horses there will be if $\frac{1}{3}$ of a horse is added to the carousel. The word “of” indicates multiplication.

This statement will tell you how many horses there will be if $\frac{1}{3}$ of a horse is taken away from the carousel. The word “of” indicates multiplication.

The word “of” indicates multiplication. This statement will tell you how many carousel horses will be repainted.

$\frac{128}{3}$
$\frac{56}{3}$
$\frac{1}{6}$
$\frac{54}{6}$

Start by performing skip-dot-flip. Then follow the rules for multiplying fractions. Be sure to reduce your final answer, if needed.

How well do you understand the concepts and skills introduced in this lesson?

Let's Practice

1. What is the product of $\frac{2}{3}$ and $\frac{11}{4}$ ? Completely simplify your answer.

2. Which is the reciprocal of the fraction $\frac{3}{5}$ ?

3. Which is NOT a step when dividing fractions?

4. What is the product of a number and its reciprocal?

5. A zoo is going to repaint some of its carousel horses. If $\frac{1}{3}$ of the horses will be repainted and there are 36 horses on the carousel, which statement could you use to find out how many horses will be repainted?

6. What is quotient of $\frac{8}{3} \ \div\ 16$ ?

Summary

How well do you understand the concepts and skills introduced in this lesson?

Let's Practice

1. What is the product of 23 \frac{2}{3} and 114 \frac{11}{4} ? Completely simplify your answer.

2. Which is the reciprocal of the fraction 35 \frac{3}{5} ?