Let's look at how to divide mixed numbers. In order to divide mixed numbers, we first change each mixed number to an improper fraction. So suppose we have 4 3/4 and 5 4/5. We turn it into 19/4 divided by 29/5. Now that we've turned the mixed numbers into improper fractions, we can simplify things further by turning this division equation into a multiplication equation by taking the second term of the equation and turning it into its reciprocal. So 19/4 divided by 29/5 becomes 19/4 multiplied by 5/29. Finally, we multiply the numerator of the first fraction by the numerator of the second fraction, and the denominator of the first fraction by the denominator of the second fraction. This gives us 95/116. We simplify the fraction if necessary, and we've completed our problem.
April 5, 2014