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Understanding 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. Many fraction problems also require that more than one basic math operation be utilized. There are four main math operations and that is subtraction, addition, division and multiplication. For one to be proficient in fractions, they must first understand the four areas mentioned above. However, for one to be able to master fractions; a lot of practice is required. The purpose of this article is to demonstrate how the four basic math operations could be used to solve fractions. 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 two denominators must be converted into the same denominator before you are able to add. The denominators here are 8 and 12. after identification of the denominator, determine the least number that can multiply both 12 and 8. The lowest number would be 24. You then need to convert both 4/8 and 3/12 into fractions that will have 24 as the denominator. In order to get 12/24 and 6/24 respectively the two fractions are multiplied by whole numbers 3 and 2. You will then add 12/24 and 6/24 to come up with 18/24. Multiplications 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. After the fractions have been reduced, the numerator and denominator are multiplied. Dividing fractions (simple problem) 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. Fraction division to its simplest form;3/9 / 7/8 = 3/9 x 8/7 = 24/63 = 8/21 Flip 7/8 into 8/7 and change the sign from division to multiplication. Then replace the division sign with the multiplication sign and carry out the operation. The results obtained which is 24/63 can further be reduced. 24 and 63 are both divisible by 3 (greatest common factor). 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; First, 18/15 is flipped into 15/18 and multiplication sign is used to replace the division sign. 36/45 and 15/18 can be reduced through cross canceling. Both 36(top number for the first fraction) and 18 (bottom part of the second fraction) have one common factor which is 18. 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.