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Operation of Fractions. Most children consider learning fractions to be a very complicated exercise. The main difference between a fraction and other numbers is that it has a numerator and a denominator. There are some fractions problems that require one to follow some set steps in order to arrive at their solutions. Most if not all of the fractions problems also require a student to combine various maths operations in order to solve them. The four operations are addition, subtraction, multiplication, and division. For one to be proficient in fractions, they must first understand the four areas mentioned above. Mastery of fractions comes from practicing them regularly. This article therefore aims at clearly articulating how to solve fractions while using math operations mentioned above. Addition of fractions with the 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. The denominator being the same which is 9, remains the same.
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Fractions with different denominators, Addition; 4/8 + 3/12 = 12/24 + 6/24 = 18/24 = 3/4 . The first step is to make the two denominators equal before carrying out addition. 12 and 8 are the denominators. First, you must figure out the lowest number in which both 8 and 12 can be evenly multiplied into. 24 is the lowest number that can be multiplied to the denominators. After finding a common denominator, one goes further to convert each fraction to having it as its denominator. For 4/8, you will multiply both numbers by 3 to come up with 12/24;For 3/12, you will multiply both numbers by 2 to come up with 6/24. You will then add 12/24 and 6/24 to come up with 18/24. Multiplications Simply multiply the numerators and denominators for the answer. Multiplication of fractions;15/ 25 x 5/30 = 1/5 x 1/2 = 1/10 To reduce a fraction, it is the numerator and the denominator that are cross cancelled. After the fractions have been reduced, the numerator and denominator are multiplied. Dividing fractions (simple problem) Division involves flipping of the second fraction and also changing of the division sign to multiplication sign. 7/11 now becomes 11/7. You will now multiply the fractions. Dividing fractions (reduced to simplest form) First change the second fraction by flipping it to 8/7 from 7/8. 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. Therefore the common factor is 3, divide the numbers using it. How to divide fractions that are reduced to their simplest form 36/45 / 18/15 = 36/45 x 15/18 = 2/3 x 1/1 = 2/3; Flip 18/15 into 15/18 and change the sign from division to multiplication. 15/18 and 36/45 are further reduced. The numerator of the first fraction (36) and the denominator of the second fraction (18) are both divisible by 18. “36” becomes 2 and “18” becomes 1. The other part of the fraction is also cross cancelled because they have a common factor. Finally, the resulting fractions are multiplied to get the answer.