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Mastering Math Operations;Fractions The process of learning fractions is considered to be complicated. The main difference between a fraction and other numbers is that it has a numerator and a denominator. There are problems involving fractions which require several steps to be taken before you get to the solution. Many fraction problems also require that more than one basic math operation be utilized. Addition, Division, Subtraction and multiplication are the four basic math operations. For one to be proficient in fractions, they must first understand the four areas mentioned above. Mastery of fractions comes from practicing them regularly. In this article, I will present various examples to demonstrate how the four math operations come into play with solving fractions. Adding fractions (same denominator)
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When adding five-ninths and two-ninths, you simply add the numerators of 5 and 2, which become 7. 9 is the denominator in this case and it remains the same.
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Adding fractions (different denominator and reduced to simplest form) The first step is to make the two denominators equal before carrying out addition. The denominators here are 8 and 12. The other consideration is to determine the lowest number which could be multiplied evenly to the denominator. This number is 24. You then need to convert both 4/8 and 3/12 into fractions that will have 24 as the denominator. The numerator and denominator of the two fractions are multiplied by 2 and 3 respectively so as to get 12/24 and 6/24 respectively. You will then add 12/24 and 6/24 to come up with 18/24. Multiplying fractions (simple problem) It involves the numerator and denominator multiplication. Multiplying fractions (reduced to simplest form – cross canceling) To reduce the fractions, one cross cancels the denominators and numerator. Upon reduction of the fractions, the bottom and top numbers are then multiplied to get the final answer. How to divide simple fraction problems;5/9 / 7/11 = 5/9 x 11/7 = 55/63 Division involves flipping of the second fraction and also changing of the division sign to multiplication sign. 7/11 now becomes 11/7. upon flipping the second fraction, it is then multiplied. Dividing fractions when reducing them to the simplest form. Begin by flipping the second fraction from 7/8 to 8/7. Then replace the division sign with the multiplication sign and carry out the operation. One goes further to reduce the results obtained by determining a common factor. The common factor of the resulting fraction is 3, divide both of them by it. Dividing fractions (reduced to simplest form – cross canceling) First, 18/15 is flipped into 15/18 and multiplication sign is used to replace the division sign. 15/18 and 36/45 are further reduced. The common factor between the numerator of the first fraction and the denominator of the second fraction is 18. The second part of the fractions also have a common factor so as to cross cancel them. The last part is to multiply the resulting fractions.