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Make all the fractions into equivalent fractions with the same denominator.
The choice of the new denominator is up to you. Two suggestions:
- multiply together all the denominators and use that (guaranteed to work, but may involve some very large numbers);
- find the lowest common multiple of all the denominators and use that.
example:
Solve 1/2 + 1/3 + 1/12
LCM of 2, 3, 12 is 12
1/2 = 6/12
1/3 = 4/12
1/12 = 1/12
1/2 + 1/3 + 1/12 = 6/12 + 4/12 + 1/12= 11/12
What else can I help you with?
How is adding like fractions and adding unlike fractions the same?
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.
Can you add numbers with different numerators?
Yes, 'fractions' with different numerators can be added, but not with different denominators. In the case where you have different denominators, you must find the LCM (lowest common multiple).
What is least common multiple or LCM?
The LCM is used to help you add or subtract fractions with different denominators.
What condition must be met before you can add or subtract fractions?
Before you can add or subtract fractions, the denominators must be the same. If the denominators are different, you need to find a common denominator by determining the least common multiple of the existing denominators. Once the denominators are equal, you can add or subtract the numerators while keeping the common denominator.
How do we add fractions in lowest terms?
You convert them to equivalent fractions each of whose denominators are the same - either the lowest common multiple (LCM) of the original denominators or a multiple of the LCM.
Why are two fractions converted into like fractions?
Because you can't add or subtract fractions that have different denominators. Making them like fractions, by multiplying so the denominators are the same, you can add and/or subtract them.
When or why would it be useful to know the least common multiple of a set of numbers?
When you are trying to add or subtract fractions with different denominators.
Why does the equivalent fraction make adding and subtracting fractions easier?
You cannot add or subtract fractions with different denominators. If the denominators are different then you need to work with equivalent fractions.
How do you add and subtract by fractions?
If the fractions have the same denominator, add and subtract the numerators as if the denominators weren't there and put the result over that denominator. Reduce if possible. If the fractions have different denominators, find the LCM of the denominators and convert the fractions to equivalent fractions with like denominators. Then add and subtract the numerators as if the denominators weren't there and put the result over that denominator. Reduce if possible.
What To add or subtract fractions with different denominators first find equivalent fractions with what?
To add or subtract fractions with different denominators, first find equivalent fractions by determining a common denominator. This typically involves finding the least common multiple (LCM) of the denominators. Convert each fraction to an equivalent fraction with this common denominator, and then you can add or subtract the numerators while keeping the denominator the same. Finally, simplify the resulting fraction if possible.
When adding fractions with unlike denominators it is most helpful if the fractions are renamed using the?
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator.
When add or subtract fractions with different denominators first find equivalent fractions with a what?
When adding or subtracting fractions with different denominators, first find equivalent fractions with a common denominator. This involves determining the least common multiple (LCM) of the denominators and then adjusting each fraction so they share this common denominator. Once the fractions have the same denominator, you can easily add or subtract the numerators while keeping the common denominator. Finally, simplify the result if necessary.
