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Mastering Math Operations;Fractions Learning fractions can be rather complicated. 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. There are four main math operations and that is subtraction, addition, division and multiplication. In order for one not to struggle in maths, they must first gain proficiency in the four areas mentioned above. Mastering fractions require lots of practice. In this article, I will present various examples to demonstrate how the four math operations come into play with solving fractions. 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. The denominator being the same which is 9, remains the same.
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Adding fractions (different denominator and reduced to simplest form) Conversion of the denominators is the first step before addition. The denominators here are 8 and 12. First, you must figure out the lowest number in which both 8 and 12 can be evenly multiplied into. The lowest number would be 24. 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. 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. How to multiply fractions and reduce them to their simplest form. 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. 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 when reducing them to the simplest form. Begin by flipping the second fraction from 7/8 to 8/7. The second step is to change the sign into multiplication and then carry it out. The results obtained which is 24/63 can further be reduced. 24 and 63 are both divisible by 3 (greatest common factor). 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 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 second part of the fractions also have a common factor so as to cross cancel them. Finally, the resulting fractions are multiplied to get the answer.