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Question
Reduce to a single fraction:
`2 5/8 - 2 1/6 + 4 3/4`
Solution
`2 5/8 - 2 1/6 + 4 3/4 = 21/8 - 13/6 + 19/4`
`= (21 xx 3)/(8 xx 3) - (13 xx 4)/(6 xx 4) + (19 xx 6)/(4 xx 6)` (LCM of 8, 6, 4 = 24)
`= 63/24 - 52/24 + 114/24`
`= (63 - 52 + 114)/24`
`= (177 - 52)/24 = 125/24 = 5 5/24`
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