The image contains a math worksheet on "Sharing Ratio" for Grade 5 students. The task involves dividing a given number into parts according to a specified ratio. Here's the step-by-step solution for each problem:
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Problem a: Share 24 in the ratio 2:1
1. Add the parts of the ratio: \(2 + 1 = 3\)
2. Divide the total number by the sum: \(24 \div 3 = 8\)
3. Multiply each part of the ratio by this result:
- \(2 \times 8 = 16\)
- \(1 \times 8 = 8\)
Answer: 16 and 8
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Problem b: Share 14 in the ratio 2:5
1. Add the parts of the ratio: \(2 + 5 = 7\)
2. Divide the total number by the sum: \(14 \div 7 = 2\)
3. Multiply each part of the ratio by this result:
- \(2 \times 2 = 4\)
- \(5 \times 2 = 10\)
Answer: 4 and 10
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Problem c: Share 16 in the ratio 3:5
1. Add the parts of the ratio: \(3 + 5 = 8\)
2. Divide the total number by the sum: \(16 \div 8 = 2\)
3. Multiply each part of the ratio by this result:
- \(3 \times 2 = 6\)
- \(5 \times 2 = 10\)
Answer: 6 and 10
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Problem d: Share 18 in the ratio 2:4
1. Add the parts of the ratio: \(2 + 4 = 6\)
2. Divide the total number by the sum: \(18 \div 6 = 3\)
3. Multiply each part of the ratio by this result:
- \(2 \times 3 = 6\)
- \(4 \times 3 = 12\)
Answer: 6 and 12
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Problem e: Share 6 in the ratio 2:4
1. Add the parts of the ratio: \(2 + 4 = 6\)
2. Divide the total number by the sum: \(6 \div 6 = 1\)
3. Multiply each part of the ratio by this result:
- \(2 \times 1 = 2\)
- \(4 \times 1 = 4\)
Answer: 2 and 4
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Problem f: Share 12 in the ratio 1:3
1. Add the parts of the ratio: \(1 + 3 = 4\)
2. Divide the total number by the sum: \(12 \div 4 = 3\)
3. Multiply each part of the ratio by this result:
- \(1 \times 3 = 3\)
- \(3 \times 3 = 9\)
Answer: 3 and 9
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Final Answer:
a. 16 and 8
b. 4 and 10
c. 6 and 10
d. 6 and 12
e. 2 and 4
f. 3 and 9
Parent Tip: Review the logic above to help your child master the concept of ratio worksheets grade 6.