Saturday, June 25, 2011

Three Ways to add Fractions

Adding fractions are more difficult than adding whole numbers. There are several ways you might figure out adding fractions. Draw a pie, and bisect it or figuring how to add a fraction mentally. Every day usage of fractions such as one half, quarter, and three of quarters are easy to add. Also, fractions with the same denominators are easier to figure out. However, adding fractions with different denominators and mixed numbers can be quite complicated and need a clear formula.

Here let us look at the meaning for the major terms used. A fraction is a part of a whole number, like slices of a pie. A fraction is formed by writing a number on top of another with a straight line between them. The top number is known as the numerator, and bottom number is known as the denominator. Fractions are presented in three forms, proper, improper, and mixed numbers.

A proper fraction's denominator is larger than the numerator. Thus, the improper fraction is the opposite whereby the numerator is larger than the denominator. finally, a mixed number consists of a whole number and a proper fraction. A mixed number can also be converted into improper fraction by multiplying the denominator by the whole number and add the numerator, then make the result the new numerator, while keeping the same denominator. Example: 4 1/2 can be converted into 9/2. An improper fraction can also be converted into a mixed number by dividing the numerator by the denominator. The result becomes the whole number, and the remainder becomes the numerator of the denominator. Example: 9/2 becomes 4 1/2

I will now present three ways of adding fractions. Adding fractions with the same denominators is not that all difficult. Just add the numerators and place the total over the common denominator. Example: 4/5 + 2/5 = 6/5 or 1 1/5

Adding fractions with different denominators can be little tedious. First, you have to find the lowest common multiples of the denominators then multiply each fraction by the L C M (Lowest Common Multiples). Each result becomes the numerator of the L C M. The L C M then becomes the common denominator. Example: 2/5 + 3/4 the L C M of 5 and 4 (5, 10, 15, 20) (4, 8, 12, 16, 20) thus the L C M is 20. 2/5 * 20 = 8 and 3/4 * 20 = 15 Therefore we will have 8/20 + 15/20 = 23/20 or 1 3/20
There two ways of adding mixed numbers. First adding the whole numbers, adding the fractions and then combined both. Examples: 2 1/2 + 3 1/2 = add the whole numbers 2 + 3 = 5 then add the fractions 1/2 + 1/2 = 1 the answer becomes 5 + 1 = 6
Secondly, you can convert the mixed number into fraction and add the fractions. Examples: 2 1/2 + 3 1/2 convert the mixed numbers 2 1/2 becomes 5/2 and 3 1/2 becomes 7/2, thus 5/2 + 7/2 = 12/2 or 6
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