Fractions - Basics | |||||||||||||||
The square above is cut into two components, thus the shaded boxes represent 2 boxes of a whole (4). In terms of Fraction, this can be presented as :
Another example, The square above is cut into two components, thus the shaded boxes represent 3 boxes of a whole (4). In terms of Fraction, this can be presented as :
numerator ---------- denominator To add two fractions with the same denominator, add the numerators and place that sum over the common denominator. To Add fractions with different denominators: Find the Least Common Denominator (LCD) of the fractions Rename the fractions to have the LCD Add the numerators of the fractions and simplify Example: Find the Sum of 1/5 and 1/3 First we have to find the lowest common denominator, which in this case is the lowest number that is evenly divisble by both 3 and 5. One of the ways to do this is to list multiples of each number and then pick the smallest number that is in both sets of numbers For example for 3: 3, 6, 9, 12, 15, 18, 21,24,... For 5: 5, 10, 15, 20, 25,... As you can see from the numbers above, 15 is the smallest common number in the two sets of numbers, thus it is the lowest common Denominator (LCD). To add the two numbers, You take LCD, devide it by the first denominator and then multiply by the first numerator, then do the same with the second number. This will produce : ((15/5) x 1) = 3 and the second number will be ((15/3) x 1) = 5 Thus (3 + 5)/15, which can be simplified to 8/15 |
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