How do you multiply a fraction by a mixed number? - Answers

Ok, so to multiply a fraction by a mixed number, you simply turn the mixed number into a fraction, and then multiply. So for 2 3/4, 2 multiplied by 4 is 8, and 8+3 is 11, so therefore I multiplied the whole number by the denominator (the number on the bottom of the fraction) and added the result to the numerator (the number on the top.) Ok, so now we have 11/3, and if we were asked to multiply that with 4/8, then we would multiply across, so we would multiply 4 by 11 to get 44 and 9 by 3 to get 24 so our new fraction would be 44/24 and reduce that to 11/6 and then turn it back into a mixed number by dividing 11 by 6 (a fraction like 1/2 actually means 1 divided by 2!) and that gives you 1 remainder 5 or 1 and 5/6 so your final fraction is one and five sixths, or 1 5/6 for that particular problem.