
Rachel W. answered 02/25/14
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First convert 5 3/4 to an improper fraction by multiplying the denominator and integer and adding the numerator to that product: 5 * 4 = 20 + 3 = 23 so our improper fraction is 23/4
Next, make 46 into a fraction by putting it over 1. To divide fractions, you multiply the first fraction by the reciprocal of the second so we have:
(46/1) * (4/23)
You multiply the numerators (46 * 4) and then the denominators (1 * 23) and ultimately obtain 184/23
We then check to make sure this cannot be simplified, but it turns out it can because 184/23 is just 8!
So your final answer is 8.