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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
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
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What is the least common multiple used for?
It helps with the adding and subtracting of fractions.
How you use the least common multiple?
When adding or subtracting unlike fractions, the LCM process is used to find the least common denominator.
What types of problems can be solved using the greatest common factor and what types of problems can be solved using the least common multiple.?
Finding the GCF will help in simplifying fractions. Finding the LCM will help in adding and subtracting fractions.
What is the relationship between least common multiple and greatest common faction?
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
What careers use the least common multiple?
When adding or subtracting fractions with different denominators their least common multiple must be found in order to carry out the given calculations.
What is the least common multiple used for?
It helps with the adding and subtracting of fractions.
Why do people use least common multiple?
To help with adding and subtracting fractions.
How does finding the least common multiple help you add fractions?
Because when adding or subtracting fractions the denominators must have the same values
When do you need to find the least common multiple for two or more numbers?
When you are adding or subtracting unlike fractions.
What types of problems can be solved while using the least common multiple?
Adding and subtracting unlike fractions.
What are the Rules of adding and subtracting dissimilar fractions?
If their denominators are different then find their lowest common denominator by means of their lowest common multiple remembering to adjust their numerators accordingly before adding or subtracting.
What is least common multiple used for?
When adding or subtracting fractions with different denominators then the least common multiple amongst them is needed to find the lowest common denominator.
What is a sentence for least common multiple?
The least common multiple of 6 and 9 is 18.
What information does the least common multiple of two numbers provide in a problem?
When adding or subtracting fractions with different denominators the lowest common denominator is needed and is found by finding the lowest common multiple of the denominators.
What type of problems can be used using the least common multiple?
Anything having to do with adding or subtracting unlike fractions.
How you use the least common multiple?
When adding or subtracting unlike fractions, the LCM process is used to find the least common denominator.
When is it useful to find the least common multiple and greatest common factor of two or more numbers to solve a problem?
When you are simplifying fractions or adding and subtracting unlike fractions.
