9514 1404 393
Answer:
121/14 or 8 9/14
Step-by-step explanation:
The quotient of 1/8 and 1/4 is ...
(1/8)/(1/4) = (1/8)(4/1) = 4/8 = 1/2
The product of 2 2/3 and 3 3/7 is ...
(2 2/3)(3 3/7) = (8/3)(24/7) = (8·24)/(3·7) = 64/7
Subtracting the first result from the second gives ...
64/7 -1/2 = (128 -7)/14 = 121/14 = 8 9/14
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Additional comment
When subtracting fractions with denominators that have no common factors, I find it useful to make use of the formula ...
[tex]\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}[/tex]
In this case, that gives us (64·2 -7·1)/(7·2) = (128 -7)/14.
