SOLUTION: I need the answers to this problems: 1. 2 1/4 = b - 1 2/3 what is "b"

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Question 171364: I need the answers to this problems:
1. 2 1/4 = b - 1 2/3 what is "b"

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2 1/4 = b - 1 2/3 what is "b"
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(9/4) = b - (5/3)
Multiply thru by 12 to get:
27 = 12b - 20
12b = 47
b = 47/12
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Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%261%2F4=b-1%262%2F3 Start with the given equation


9%2F4=b-1%262%2F3 Convert the mixed fraction 2%261%2F4 into the improper fraction 9%2F4 . Note: 2%261%2F4=%282%2A4%2B1%29%2F4=%288%2B1%29%2F4=9%2F4


9%2F4=b-5%2F3 Convert the mixed fraction 1%262%2F3 into the improper fraction 5%2F3 . Note: 1%262%2F3=%281%2A3%2B2%29%2F3=%282%2B3%29%2F3=5%2F3


12%289%2Fcross%284%29%29=12%28b%29-12%285%2Fcross%283%29%29 Multiply EVERY term by the LCD 12 to clear any fractions.


27=12b-20 Multiply and simplify.


27%2B20=12b Add 20 to both sides.


47=12b Combine like terms.


47%2F12=b Divide both sides by 12 to isolate b.


b=47%2F12 Rearrange the equation.


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Answer:

So the answer is b=47%2F12 which approximates to b=3.917.