Find the sum of 27/4 and 3 5/8. Give your answer as a mixed number in simplest form.
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Worked Solution
Step 1: Convert 27/4 to a mixed number: 27 ÷ 4 = 6 remainder 3, so 27/4 = 6 3/4.
Step 2: Add the mixed numbers: 6 3/4 + 3 5/8.
Step 3: Convert 3/4 to eighths: 3/4 = 6/8. Now 6 6/8 + 3 5/8.
Step 4: Add whole parts and fraction parts: (6 + 3) + (6/8 + 5/8) = 9 + 11/8.
Step 5: Simplify the improper fraction: 11/8 = 1 3/8. Carry the 1 to the whole part: 9 + 1 3/8 = 10 3/8.
Answer: 10 3/8
Correct answer: 10 3/8
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