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Mixed Numbers Quiz

Check out Bas Rutten's Liver Shot on MMA Surge: http://bit.ly/MMASurgeEp1 In this video, Mahalo math expert Julie Clark presents a quiz question on adding and subtracting mixed numbers. Question 1 --------------------------------------------------------------------- Solve this problem involving subtracting mixed numbers: Solve This Problem --------------------------------------------------------------------- To solve the problem, first turn the mixed numbers into improper fractions. Start by multiplying the denominator by the whole number and then adding the result to the numerator of the fraction. Put this total over the denominator. For the first fraction you would have 3x4=12, and then add 2 to get 14/3. For the second fraction, you would have 2x2-4, plus 1 is 5/2. The new equation reads: 14/3 - 5/2.Now that you have two fractions, you cannot add or subtract them until they have a common denominator. Find the lowest number that both 3 and 2 go into, which is 6. Use 6 as the denominator for both fractions. Since you multiplied the 3 by 2 in order to make 6, you have to multiply the numerator, 14, by 2 as well. So the first fraction becomes 28/6. For the second fraction, you multiply the denominator, 2, by 3 to get the common denominator 6. Do the same thing to the numerator by multiplying 5 by 3. The second fraction becomes 15/6.?Now that the denominators are the same, you can subtract the numerators straight across. 28-15=13 so your answer is 13/6.?However, this fraction can be reduced to a mixed number. 6 goes into 13 twice with a remainder of 1, so the answer is 2 1/6.? Question 2 --------------------------------------------------------------------- Solve this problem involving subtracting whole and mixed numbers: Solve This Problem --------------------------------------------------------------------- In order to solve this problem, both the whole number and mixed number must be converted into fractions.? 7 can be written as 7/1. To turn 5 1/2 into a fraction, multiply the denominator by the whole number, and then add the numerator. This gives you 2x5=10, plus 1 is 11/2. Now your problem reads: 7/1 - 11/2.?Before you can subtract the fractions, they must have a common denominator. Both 1 and 2 go into 2, so you can use that as the common denominator. To convert 7/1, multiply both the numerator and denominator by 2. This gives you 14/2.? 11/2 already has the correct denominator so now your problem reads: 14/2 - 11/2. Now that you have a common denominator you can subtract straight across. Subtract the numerators to get 14-11=3. The denominator stays the same, so the answer is 3/2.? Since 3/2 is an improper fraction, you can turn it into a mixed number. 2 goes into 3 one time with a remainder of 1, so the answer is 1 1/2.? Question 3 --------------------------------------------------------------------- Solve this problem involving subtracting and adding mixed numbers and whole numbers. Solve This Problem --------------------------------------------------------------------- To solve the problem, you first need to turn the mixed number into a fraction. Do this by multiplying the denominator by the whole number and adding the numerator. This will be 3x1=3, then add 2 to get 5/3. The problem now reads 5/3 - 3/4 + 1/6.?Now you need to have a common denominator in order to subtract and add the fractions. Find a number that 3, 4 and 6 go into, which is 12. Convert each fraction so that the denominator is 12.?Your equation now reads 20/12 - 9/12 + 2/12.Once the fractions all have a common denominator, you can subtract and add through the problem from left to right, following the order of operations.?20-9=11, and 11+2=13. Therefore, your answer is 13/12.?Turn this into a mixed number by finding how many times 12 goes into 13, which is once with a remainder of 1. Your final answer is 1 1/12.? Read more by visiting our page at: http://www.mahalo.com/mixed-numbers-quiz/
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