Ravi is filling a container with two ingredients. He pours in 3⅓ kg of sand and 2¾ kg of gravel. He then removes 1⅚ kg of the mixture. How many kilograms of the mixture remain in the container?
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Worked Solution
Step 1: Convert all mixed numbers to improper fractions.
3⅓ = 10/3, 2¾ = 11/4, 1⅚ = 11/6
Step 2: Find a common denominator for all three fractions (LCD of 3, 4, 6 = 12).
10/3 = 40/12
11/4 = 33/12
11/6 = 22/12
Step 3: Add the two quantities poured in.
40/12 + 33/12 = 73/12
Step 4: Subtract the quantity removed.
73/12 − 22/12 = 51/12
Step 5: Simplify.
51/12 = 4 remainder 3 → 4 3/12 = 4¼ kg
Answer: 4¼ kg
Answer: 4 1/4 kg
Correct answer: 4 1/4 kg
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