Ratios
Write ratios from word phrases
Turn twenty word phrases into fractions in simplest form. Practice ordered comparisons and distinguish “to” from “out of” a stated total.
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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.
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For the first section, write each ratio as a reduced fraction. For the rate section, write the original labeled fraction and calculate the unit rate to two decimal places.
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Learning objective
What this activity builds
Distinguish a ratio written in simplest fraction form from a rate expressed per one unit.
Worked example
Compare “8 successes out of 20 attempts” with “8 pages read in 20 minutes.”
Success ratio: 2/5. Reading rate: 8 pages / 20 minutes = 0.40 pages per minute.
Both use the numbers 8 and 20, but they answer different questions. The first compares a part with a total; the second compares quantities measured in different units.
Teaching notes
Make the practice count
- Read the section instruction before choosing how to express the answer.
- Keep the original rate fraction even when its numerical terms can be reduced.
- Use the units to distinguish a part-to-whole ratio from a rate.
- Follow mixed practice with an explanation of what each answer means in context.
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