Understanding Ratio Sharing in Math Problems

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Explore various scenarios of sharing numbers in given ratios, such as splitting 40 or 24 items between two people in different ratios and finding equal distributions. Discover how to distribute sweets between friends and identify ratios that yield similar results. Engage in creating your own sharing scenario among three individuals. Visual aids included.


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  1. Sharing numbers in a given ratio Share 40 between two people in the ratio 3:5 5 5 5 40 5 5 5 5 5 How much will go in each box? How much does each person get?

  2. Sharing numbers in a given ratio Share 40 between two people in the ratio 3:2 8 8 8 40 8 8 How much will go in each box? How much does each person get?

  3. Sharing numbers in a given ratio Share 24 between two people in the ratio 1:5 4 24 4 4 4 4 4 How much will go in each box? How much does each person get?

  4. Sharing numbers in a given ratio Share 24 between two people in the ratio 1:2 8 24 8 8 How much will go in each box? How much does each person get?

  5. Sharing numbers in a given ratio Share 24 between two people in the ratio 3:1 6 6 6 24 6 How much will go in each box? How much does each person get?

  6. Sharing numbers in a given ratio Share 28 between two people in the ratio 3:4 4 4 4 28 4 4 4 4 How much will go in each box? How much does each person get?

  7. In your books Share 15 sweets between you and your friend in the ratio 2:3 Share 30 sweets between you and your friend in the ratio 2:3 Share 30 sweets between you and your friend in the ratio 4:6 Can you find another ratio that gives you the same answer? Share 32 in the ratio 2: 3: 3 What other ratios can you split 32 into 3 ways that gives whole answers

  8. Write your own Share between three people in the ratio : : How much will go in each box? How much does each person get?

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