Question 586046
A spool contains 25 1/3 yards of ribbon. It takes 2 ½ yards of ribbon to make a bow. How many bows can be made? 
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# of bows = 25 1/3 / 2 1/2
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= [(3*25+1)/3]/[(2*2+1)/2]
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= [76/3]/[5/2]
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Invert and multiply
= [76/3]*[2/5]
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= [152/15]
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= 10 2/15
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Graph:
{{{graph(400,400,-10,10,-10,20,(152/15))}}}
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Reaated subtraction
76/3 - 5/2 = (152-15)/6 = 137/6
137/6 - 5/2 = (274-30)/12 = 244/12
244/12- 5/2 = 61/3-5/2 = (122-15)/6 = 107/6
etc.
Keep repeating the subtraction till you get down to 2/15
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Technology:
Using a TI-84
Enter: (25+(1/3))/(2 + (1/2))
Hit ENTER to get 10.1333
Subtract 10 to get 0.1333
Hit MATH, then Frac to get 2/15
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Cheers,
Stan H. 
Cheers,
Stan H.
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