Understanding Fractions. Most children consider learning fractions to be a very complicated exercise. All fractions have a top number (numerator) and a bottom number (denominator). There are problems involving fractions which require several steps to be taken before you get to the solution. Most if not all of the fractions problems also require a student to combine various maths operations in order to solve them. There are four main math operations and that is subtraction, addition, division and multiplication. If you are lacking proficiency in any of these areas, you will struggle with doing fractions. However, for one to be able to master fractions; a lot of practice is required. 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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It is only the numerators that are 2 and 5 that are added together. 9 is the denominator in this case and it remains the same.
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Addition of fractions with different denominators The two denominators must be converted into the same denominator before you are able to add. 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. This number is 24. After finding a common denominator, one goes further to convert each fraction to having it as its 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) Simply multiply the numerators and denominators for the answer. How to multiply fractions and reduce them to their simplest form. To reduce the fractions, one cross cancels the denominators and numerator. After the fractions have been reduced, the numerator and denominator are multiplied. Division of fractions. When fractions are being divided, you need to “flip” the second fraction and change the operation sign from division to multiplication. The second fraction in the example above is 7/11 which is changed to 11/7. You will now multiply the fractions. Dividing fractions (reduced to simplest form) Flip 7/8 into 8/7 and change the sign from division to multiplication. Multiply the fractions. 24/63 can be further reduced. The common factor of the resulting fraction is 3, divide both of them by it. Division of fractions reduced to their simplest forms. Flip 18/15 into 15/18 and change the sign from division to multiplication. 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. 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.