lesson
Count all the ratio parts
1 · Learn
A ratio labels relative amounts. Red:blue = 3:2 has five equal-sized parts altogether, so red is 3/5 of the total, not 3/2 of the total. Keep the labels in the stated order.
Divide the whole amount by the total number of parts, then multiply by each part count. Check the shares add back to the original and preserve the ratio.
2 · Worked example
For 45 counters in ratio 3:2, one part is 9 counters. Red gets 27 and blue 18. Their sum is 45.
3 · Your turn
Share 72 counters in ratio 5:3. What fraction of the total is the larger share?
Check your answer
45 and 27 counters; the larger share is 5/8.
4 · Apply your learning
Draw a bar model with eight equal sections before calculating, then explain what each section represents.
Adult guidance and safety
Ask the learner to explain the method and check it using a different representation. Supply place-value grids, fraction strips, accurate diagrams and measuring tools where needed. These examples need varied practice; a short correct answer alone does not establish 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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