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Operation of Fractions. The process of learning fractions is considered to be complicated. All fractions have a top number (numerator) and a bottom number (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. 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. Mastering fractions require lots of practice. The purpose of this article is to demonstrate how the four basic math operations could be used to solve fractions. Adding Fractions with the same denominator,5/9 + 2/9 = 7/9
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When adding the fractions above, you only add the numerators. The denominator of 9 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 in the fractions presented above are 12 and 8. after identification of the denominator, determine the least number that can multiply both 12 and 8. The lowest number would be 24. After finding a common denominator, one goes further to convert each fraction to having it as its denominator. In order to get 12/24 and 6/24 respectively the two fractions are multiplied by whole numbers 3 and 2. The other step is to add them up so as to get 18/24. In order to get the answer 18/24, they two fractions are added together. How to multiply fractions;7/8 x 3/4 = 21/32 It involves the numerator and denominator multiplication. 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. Division of fractions. To work out division, one flips the second fraction and also changes the division sign to multiplication. 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. Multiply the fractions. One goes further to reduce the results obtained by determining a common factor. Therefore the common factor is 3, divide the numbers using 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. Cross canceling is now done for the numerator of the second fraction (15) and the denominator of the first fraction (45). Finally, the resulting fractions are multiplied to get the answer.