Unit Rates and Ratios of Fractions

What’s the Big Idea?

A unit rate tells us how much of one quantity corresponds to 1 unit of another. When ratios are fractions, computing unit rates involves dividing one fraction by another.

Unit Rates and Ratios of Fractions

What’s the Big Idea?

A unit rate tells us how much of one quantity corresponds to 1 unit of another. When ratios are fractions, computing unit rates involves dividing one fraction by another.

Let’s Break It Down!

Imagine you’re at a bakery:

• You bought 3/4 of a pound of cake for 1/2 of a dollar.
• The baker wants to know: “How much cake can you get for 1 dollar?”

To find the unit rate:
Unit Rate= Cake/ Price

= (3/4)/ (1/2)

= 6/4

= 3/2

= 1.5

Answer: You get 1.5 pounds of cake per dollar!

Why it matters

Think of it like “flipping pancakes”—you flip the second fraction and multiply. Try practicing with real-world examples like cost per item, miles per hour, or price per square foot!

By practicing unit rates with ratios of fractions, you'll be solving real-world problems in no time!

Let’s practice and evaluate your work together by turning word problems into numerical expressions!