Most children consider learning fractions to be a very complicated exercise. All fractions have a top number (numerator) and a bottom number (denominator). For starters, it is worth to note that there are some problems involving fractions that require one to follow steps in order to solve them. Various basic math operations are utilized in order to be able to solve most fractions.
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. 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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When adding the fractions above, you only add the numerators. 9 is the denominator in this case and it 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. 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. This number is 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. You will then add 12/24 and 6/24 to come up with 18/24.
Multiplying fractions (simple problem)
To get the answers, the denominators and numerators are multiplied.
How to multiply fractions and reduce them to their simplest form.
To reduce a fraction, it is the numerator and the denominator that are cross cancelled. 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. The second fraction in the example above is 7/11 which is changed to 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
Begin by flipping the second fraction from 7/8 to 8/7. 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. The common factor of the resulting fraction is 3, divide both of them by it.
Division of fractions reduced to their simplest forms.
As always, flip the second fraction and the change the division sign. The resulting fractions can further be reduced by cross cancelling. 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. Cross canceling is now done for the numerator of the second fraction (15) and the denominator of the first fraction (45). The last part is to multiply the resulting fractions.