Ratio and Proportion
ICSE · Class 7 · Mathematics
Flashcards for Ratio and Proportion — ICSE Class 7 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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Solve: Simplify 6 : 8
Answer
Step 1: Find the H.C.F. of 6 and 8. It is 2. Step 2: Divide both terms by 2. 6 : 8 = (6 ÷ 2) : (8 ÷ 2) = 3 : 4 Answer: 3 : 4…
Solve: Simplify 22 : 66
Answer
Step 1: Find the H.C.F. of 22 and 66. It is 22. Step 2: Divide both terms by 22. 22 : 66 = (22 ÷ 22) : (66 ÷ 22) = 1 : 3 Answer: 1 : 3…
Solve: Simplify 1/3 : 1/4
Answer
Step 1: Take the L.C.M. of the denominators 3 and 4. It is 12. Step 2: Multiply both terms by 12. (1/3) : (1/4) = (1/3 × 12) : (1/4 × 12) Step 3: Simplify each term. = 4 : 3 Answer: 4 : 3…
Solve: Simplify 4 1/4 : 1 1/12
Answer
Step 1: Convert mixed numbers into improper fractions. 4 1/4 = 17/4 and 1 1/12 = 13/12 Step 2: Take the L.C.M. of 4 and 12. It is 12. Step 3: Multiply both terms by 12. (17/4 × 12) : (13/12 × 12) = 51…
Solve: Divide 20 sweets between A and B in the ratio 2 : 3
Answer
Step 1: Add the parts of the ratio. 2 + 3 = 5 Step 2: Find A's share. A gets (2/5) of 20 = 8 sweets Step 3: Find B's share. B gets (3/5) of 20 = 12 sweets Answer: A = 8 sweets, B = 12 sweets…
Solve: Divide ₹260 among A, B and C in the ratio 1/2 : 1/3 : 1/4
Answer
Step 1: Convert the ratio into whole numbers. L.C.M. of 2, 3 and 4 = 12 (1/2) : (1/3) : (1/4) = 6 : 4 : 3 Step 2: Add the parts. 6 + 4 + 3 = 13 Step 3: Find each share. A = (6/13) of 260 = ₹120 B = (4…
Solve: Two numbers are in the ratio 10 : 13. Their difference is 48. Find the numbers.
Answer
Step 1: Let the numbers be 10x and 13x. Step 2: Find the difference in parts. 13x - 10x = 3x Step 3: Use the given difference. 3x = 48 Step 4: Find x. x = 48 ÷ 3 = 16 Step 5: Find the numbers. 10x = 1…
Solve: Two numbers are in the ratio 8 : 13. The second number is 156. Find the first number.
Answer
Step 1: Write the ratio as 8 parts and 13 parts. Step 2: If 13 parts = 156, then 1 part = 156 ÷ 13 = 12 Step 3: Find 8 parts. 8 × 12 = 96 Answer: 96…
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