SOLUTION: Please help me solve this equation. Solve for x as a reduced (simplified)fraction: 3x/4 + 2/3 = 17/4

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Question 867558: Please help me solve this equation. Solve for x as a reduced (simplified)fraction:
3x/4 + 2/3 = 17/4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2F4+%2B+2%2F3+=+17%2F4 Start with the given equation.


3x%2F4+=+17%2F4+-+2%2F3 Subtract 2%2F3 from both sides.


3x%2F4+=+%2817%2F4%29%2A%283%2F3%29+-+2%2F3 Multiply 17%2F4 by 3%2F3


3x%2F4+=+51%2F12+-+2%2F3 Multiply


3x%2F4+=+51%2F12+-+%282%2F3%29%2A%284%2F4%29 Multiply 2%2F3 by 4%2F4


3x%2F4+=+51%2F12+-+8%2F12 Multiply


3x%2F4+=+%2851+-+8%29%2F12 The denominators are the same, we can now subtract the numerators (and place that over the LCD 12)


3x%2F4+=+43%2F12 Subtract


3x%2A12+=+4%2A43 Cross multiply


36x+=+172 Multiply


x+=+172%2F36 Divide both sides by 36 to isolate x.


x+=+43%2F9 Reduce