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Least common denominators?
8/9, 5/12, 6/7
What is the connection between the LCM and adding or subtracting fractions?
Two fractions having different denominators cannot be added or subtracted directly. They need to be converted to equivalent fractions having the same denominator to enable the addition or subtraction to take place. It is possible to use the product of the denominators of the original fractions as the common denominator but it simplifies the mathematics if the lowest common multiple of the two denominators is used. EXAMPLE : Add 2/5 and 3/7. The lowest common denominator (also the LCM) of 5 and 7 is 35. 2/5 is equivalent to 2 x 7/5 x 7 = 14/35 : 3/7 is equivalent to 3 x 5/7 x 5 = 15/35 2/5 + 3/7 = 14/35 + 15/35 = 29/35
What is the common denominator of 5 of 7?
Assuming you mean the whole number 5 and the whole number 7, then the common denominator would be 1, as 5/1=5 and 7/1=7. The GCF of 5 and 7 is 1. The LCM of 5 and 7 is 35. If you are talking about common denominators, the LCM is applicable.
What is the least common denominator of 28 21 15?
So with 3 fractions with denominators of 28 21 and 15: 28 = 7 x 4, 21 = 7 x 3, and 15 = 5 x 3. 28 and 21 have 7 in common; 21 and 15 have 3 in common, so those factors are used once: 7 x 4 x 3 x 5 = 420
What are the common denominators of 7 and 10?
70
