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The lowest common denominator is simply the lowest real number that two separate denominators can be converted to. Fractions are easier to add, subtract, and compare when they are in terms of the same denominator.
For example, we will use the numbers 1/3 and 1/4. First find the lowest common multiples (LCM).
3:3,6,9,12
4:4,8,12
Now that you have found the lowest common multiple, you find an equivalent fraction that has the same value.
1/3 * 4/4 = 4/12
1/4 * 3/3 = 3/12
When you multiply the denominator by a number, you have to do the same for the numerator. This is called the Property of One. Now you add the two fractions together.
4/12 + 3/12 = 7/12
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How can you find a common denominator for two unlike fractions?
Find the lowest common multiple of the denominators and adjust the fractions accordingly
Why do you have to find a common denominator?
Addition or subtraction of fractions require "like" fractions: that is, fractions with the same denominator.
How do you write equivalent fractions with the lowest common denominator?
Well, isn't that just a happy little question! To write equivalent fractions with the lowest common denominator, you first find the least common multiple of the denominators. Then, you rewrite each fraction using that common denominator. It's like painting a beautiful landscape - just take your time, follow the steps, and soon you'll have a lovely set of equivalent fractions.
How do you check you math with adding fractions?
When adding or subtracting fractions first make sure that the denominators are the same if they aren't then find the lowest common denominator and alter the fractions accordingly
How do you calculate the sum of fractions?
If the fractions do not all have the same denominator, find a common multiple of the denominators (ideally the lowest common multiple) and convert the fractions to equivalent fractions with this denominator. Now with all the fractions with the same denominator, add together the numerators. Finally, reduce the fraction to simplest terms, converting any improper fraction to a mixed number.
