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2 and 1/4 + 2 and 1/5 + 3 and 5/8
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2 and 1/4 + 2 and 1/5 + 3 and 5/8

User Animir
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1 Answer

2 votes

Answer:


7 (23)/(40)

Explanation:

2 and 1/4 + 2 and 1/5 + 3 and 5/8


= 2 (1)/(4) + 2 (1)/(5) + 3 (1)/(8) \\ \\ = (2 * 4 + 1)/(4) + (2 * 5 + 1)/(5) + (3 * 8 + 1)/(8) \\ \\ = (8 + 1)/(4) + (10 + 1)/(5) + (24 + 1)/(8) \\ \\ = (9)/(4) + (11)/(5) + (25)/(8) \\\\(lcm \: of \: 4, \: 5, \: 8 \: = 40) \\ \\ = (9 * 10)/(4 * 10) + (11 * 8)/(5 * 8) + (25 * 5)/(8 * 5) \\ \\ = (90)/(40) + (88)/(40) + (125)/(40) \\ \\ = (90 + 88 + 125)/(40) \\ \\ = (303)/(40) \\ \\ = 7 (23)/(40)

User David Weng
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