[math]\frac{2}{3}\cdot27[/math]

[math]\frac{1}{2}\cdot\frac{2}{3}[/math]

[math]\frac{2}{9}\cdot\frac{3}{5}[/math]

[math]\frac{27}{100}\cdot\frac{200}{9}[/math]

[math]\left(1\frac{3}{4}\right)\cdot\frac{5}{7}[/math]

How many [math]\frac{1}{8}[/math]s in [math]\frac{3}{4}[/math]?

How many [math]\frac{3}{5}[/math]s in [math]\frac{9}{10}[/math]?

Elena said: “If I want to divide 4 by [math]\frac{2}{5}[/math], I can multiply 4 by 5 and then divide it by 2 or multiply it by [math]\frac{1}{2}[/math].”[br][br]Find the value of each expression using the strategy Elena described.[br][br][math]\frac{3}{4}\div\frac{1}{8}[/math]

[math]\frac{9}{10}\div\frac{3}{5}[/math]

What do you notice about the diagrams and expressions? Discuss with your partner.

Complete this sentence based on what you noticed:[br][br]To divide a number [math]n[/math] by a fraction [math]\frac{a}{b}[/math], we can multiply [math]n[/math] by ________ and then divide the product by ________.

Select [b]all [/b]equations that represent the statement you completed.

[math]\frac{8}{9}\div4[/math]

[math]\frac{3}{4}\div\frac{1}{2}[/math]

[math]3\frac{1}{3}\div\frac{2}{9}[/math]

[math]\frac{9}{2}\div\frac{3}{8}[/math]

[math]6\frac{2}{5}\div3[/math]

After biking [math]5\frac{1}{2}[/math] miles, Jada has traveled [math]\frac{2}{3}[/math] of the length of her trip. How long (in miles) is the entire length of her trip? Write an equation to represent the situation, and then find the answer.

Suppose you have a pint of grape juice and a pint of milk. You pour 1 tablespoon of the grape juice into the milk and mix it up. Then you pour 1 tablespoon of this mixture back into the grape juice. Which liquid is more contaminated?