Ratios
Mixed ratios and unit rates
Combine eight simplest-form ratio questions with eight rate and unit-rate questions. Practice choosing the correct representation and keeping units with every answer.
Preview and downloadRatios and rates practice
Rates and unit rates
Write a labeled rate and calculate a unit rate for ten word phrases. Keep the units in order and round the final unit rate to two decimal places.
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Write the original rate as a fraction with its units. Divide to find the rate per one denominator unit, then round the final quotient to two decimal places.
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Learning objective
What this activity builds
Compare quantities with different units and express the amount for one denominator unit.
Worked example
Four notebooks cost 6 dollars. What is the cost per notebook?
Rate: 6 dollars / 4 notebooks. Unit rate: 1.50 dollars per notebook.
Cost comes first because the question asks for cost per item. Divide 6 by 4. The trailing zero shows the requested hundredths precision; 4/6 would instead describe notebooks per dollar.
Teaching notes
Make the practice count
- Read “per” as “for each one” and identify which unit becomes one.
- Keep the original labeled fraction separate from the decimal unit rate.
- Predict whether the quotient should be larger or smaller than the numerator.
- Round only after dividing; retain two decimal places in the final answer.
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