7.RP.A.1: Unit rates with fractions

Also written as 7.RP.1

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

In plain words: Students compute unit rates from ratios of fractions, like walking 1/2 mile every 1/4 hour, which is 2 miles per hour.

Quick picks

Example problem: Julio pays $18 for $2\frac{2}{3}$ pounds of coffee.

What is the cost per pound of coffee?
Assign problem on Goblins →
Common mistake: Multiplying instead of dividing: 1/2 mile in 1/4 hour is 1/2 ÷ 1/4 = 2 miles per hour, not 1/8.
Builds on: 6.NS.A.1Dividing fractions 6.RP.A.2Unit rate
Leads to: 7.RP.A.2Proportional relationships

Example Problems

Julio pays $18 for

2\frac{2}{3}

pounds of coffee.

What is the cost per pound of coffee?

Nancy buys

\frac{7}{8}

pound of grapes for $1.40.

What is the cost of grapes per pound?

Mika buys 7 T-shirts for 224 dollars. Each T-shirt was the same price.
What is the cost of 1 T-shirt?

Khan Academy Resources

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