Question

5 1/2x + 2/3x=37 what does x equal

Answer 1

`x=6`

Explanation:

Convert mixed numbers to improper fractions:
`5(1)/(2) =(11)/(2)`

[Formula to convert mixed to improper:
`a(b)/(c) =(a * c+b)/(c)`]

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`(11)/(2) x+(2)/(3) x=37\\\\`

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Find least common multiplier of 2, 3: 6

[Multiply by LCM = 6]

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Simplify:
`37x=222`

Divide both sides by 37

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Which is then simplified to 6