lesson
Count whole groups of parts
1 · Learn
An improper fraction has a numerator at least as large as its denominator. Seven thirds is 7/3. Two full groups of three thirds make two wholes, with one third left: 2 and 1/3.
To convert a mixed number to an improper fraction, count the fractional parts in every whole, then add the remaining parts. Three and two fifths is 17/5.
2 · Worked example
For 11/4, eight quarters make two wholes and three quarters remain, giving 2 and 3/4.
3 · Your turn
Convert 13/5 to a mixed number and 4 and 1/2 to an improper fraction.
Check your answer
2 and 3/5; 9/2.
4 · Apply your learning
Represent each number on a line extending beyond one whole. Check both forms mark the same point.
Adult guidance and safety
Model the calculation or measurement before relying on a procedure. Explain estimates, units and checks. Use a ruler/protractor and suitable diagrams where needed; text examples alone do not establish practical skill or fluency.
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Check a calculation · Year 5 onward
Use this only when your teacher or adult allows a calculator for the task. Show your thinking first. It does not replace mental or written arithmetic and does not mark your lesson answer.
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