Question

Please someone help me

Answer 1

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 ...

  $\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}$

In this case, that gives us (64·2 -7·1)/(7·2) = (128 -7)/14.