Question

-3/4 divided by 1 1/8=

Answer 1

Answer:

  -2/3

Step-by-step explanation:

The mixed number can be converted to the improper fraction ...

  1 1/8 = (8/8) +(1/8) = (8+1)/8 = 9/8

Then the problem is to divide -3/4 by 9/8.

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There are a couple of ways to do this:

1) match denominators and take the ratio of numerators as the result.

To do this, we need to rewrite -3/4 as -6/8. Now, we have ...

  (-6/8)/(9/8) = -6/9 = -2/3 . . . . . after cancelling factors of 3

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2) invert the denominator and multiply.

  (-3/4)(8/9) = (-3·8)/(4·9) = -2/3 . . . . . . after cancelling factors of 3 and 4