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Proper fraction × improper fraction
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The pattern behind it: P5 fraction foundations
Translate division into a fraction, then calculate exactly with mixed and improper fractions.
In this one. Multiply numerator by numerator and denominator by denominator. Cancel common factors before or after multiplying.
How to spot it
Two fractions with different denominators to add or compare, or a mixed number to calculate with, point here.
Common mistake
Children add or compare the numerators straight away without rewriting the denominators to match first, treating a third plus a sixth as two sevenths.
Try one like it
Standard Add mixed numbers — 1 3/4 and 2 2/4 Calculate 1 3/4 + 2 2/4.The 33 problem patterns
All 33 patterns, one to a page — the 19 behind Primary 5 and 6 word problems, and the skills the younger years are built on. The bar model, how to spot it in the question, and the mistake children make. A booklet you can print. Free.
A PDF, and a note when new solutions go up.