Ratios
Ratios from pictures
Count two kinds of shapes in four picture arrays. Write and simplify part-to-part ratios, with an optional second question comparing one group with the whole.
Preview and downloadRatios and rates practice
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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Write the ratio described by each phrase as a fraction in simplest form. Keep the quantities in the given order.
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Learning objective
What this activity builds
Translate the meaning and order of a verbal comparison into a reduced fraction.
Worked example
Write “3 wins out of 12 games” as a ratio in simplest fraction form.
3/12 = 1/4.
The 12 games are already the total. Do not add the 3 wins again. Divide both numerator and denominator by their greatest common factor, 3.
Teaching notes
Make the practice count
- Underline the first quantity and circle the second before writing the fraction.
- For “out of,” identify the stated total explicitly.
- Simplifying changes the written terms without changing the relationship.
- Discuss why reversing the phrase would require reversing the ratio.
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