SOLUTION: 7 divide by 7 over 8

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Question 73138: 7 divide by 7 over 8
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
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7%2F%287%2F8%29
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The rule that applies here is that when you divide by a fraction you invert the fraction
and then multiply it by the number that is being divided. Let's apply that rule to this
problem.
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First, recognize that you are dividing by the fraction %287%2F8%29. Invert this fraction and get:
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%288%2F7%29
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The number that is being divided in this problem is the numerator 7.
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Multiply this number that is being divided by the inverted fraction:
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7%2A%288%2F7%29
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Multiply the 7 times the numerator 8 and get 56. So the answer is:
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56%2F7
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and it so happens that the denominator of 7 goes into 56 eight times. So the answer to
this problem is 8.
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Another way of looking at the last steps of this problem is that:
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7%2A%288%2F7%29
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can be looked at as:
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%287%2F1%29%2A%288%2F7%29
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In this product you can cancel the 7 in the numerator with the 7 in the denominator as
shown below:
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%28cross%287%29%2F1%29%2A%288%2Fcross%287%29%29
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and the answer becomes 8%2F1 or just simply 8.
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Hope this helps give you a sense of how to divide by fractions.