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What are two common denominators for 3 over 8 and 5 over 6?
24 and 48 are two possible common denominators for 3/8 and 5/6.
What common denominators of 3 and 5 and 7 and 9?
Only 1.
What is the least common denominator of 3 and 5?
The Least Common Multiple of 3 and 5 is 15, which would be the denominator to use for fractions with the denominators 3 and 5.
What is the least common denominator for 3 and 5?
There is none because the Least Common Denominator (or LCD) is the Least Common Multiple (LCM) of the denominators of a pair of fractions. If those numbers are denominators, the LCD is 15.
Why when adding fractions do you change the denominator?
If the denominators are not the same then yes.If the denominators are the same you can simply add the numerators:1/5 + 2/5 = 3/5because the denominators are all the same, and 1 + 2 = 3.If the denominators are different, simply adding the numerators will give the wrong answer:1/5 + 2/3 3/5 or 3/3.Instead, find the Least Common Multiple of the denominators (15 in this case) and convert both fractions to that denominator. Then you can go back to simply adding the numerators.1/5 = 3/152/3 = 10/153/15 + 10/15 = 13/15because 3 + 10 = 13.
