One way to compare fractions is with common denominators. The process is the same as finding the LCM of integers.
Example: 1/30 and 1/42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210
1/30 = 7/210
1/42 = 5/210
1/30 > 1/42
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Example: 1/30 and 1/42
The LCM (LCD) of 30 and 42 is 210.
30 x 7 = 210, so multiply the fraction by 7/7.
1/30 = 7/210
42 x 5 = 210, so multiply the fraction by 5/5
1/45 = 5/210
After finding the LCM use it as the denominator.
Multiply by what would change the denominator to the LCM.
Like 1/4 and 1/18
The least common multiple of 4 and 18 is 36.
4x9=36
18x2=36
Example: 2/3 and 3/4
To find the least common denominator it is necessary to find the least common multiple of 3 and 4, which is 12.
2/3 = 8/12
3/4 = 9/12
2/3 + 3/4 = 17/12 = 1 and 5/12
When adding and subtracting unlike fractions, find the LCM of the denominators and convert them to it. In this case, it's called the least common denominator, but it's the same process.
It helps with the adding and subtracting of fractions.
When adding or subtracting unlike fractions, the LCM process is used to find the least common denominator.
Finding the GCF will help in simplifying fractions. Finding the LCM will help in adding and subtracting fractions.
Least common multiple is needed to find the least common denominator when adding or subtracting fractions with different denominators Greatest common factor is needed when reducing fractions to their lowest terms
Yes.