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Denominators must be the same when adding or subtracting fractions because fractions represent parts of a whole, and only like parts can be combined accurately. When the denominators differ, the fractions represent different-sized pieces, making it impossible to directly combine them. By finding a common denominator, you ensure that the fractions are expressed in terms of the same whole, allowing for correct addition or subtraction of their numerators.
What else can I help you with?
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.
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.
Do you always have to have like numerators in fractions before you can add or subtract?
No, the denominators have to be the same.
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 you add two fractions that have like denominators?
In fractions, you can NEVER add or subtract
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.
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.
How would you add or subtract fractions with like denominators?
The same way you would add or subtract whole numbers, leaving the denominators alone.
Do you always have to have like numerators in fractions before you can add or subtract?
No, the denominators have to be the same.
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.
When you add or subtract fractions with unlike denominators why do you have to find LCM?
Because to add fractions, the denominators must be equal.
How do you add two fractions that have like denominators?
In fractions, you can NEVER add or subtract
When do you need a common denominator?
The denominators must be the same before you can add or subtract fractions.
When you add or subtract fractions with the same denominators what happens to the denominator in your answer?
It stays the same. Only the numerators change.
Fractions can be added and subtracted only if they're fractions?
We can only add or subtract fractions if they have the same denominators
Why are least common denominators important?
In order to subtract or add fractions the denominators must be the same and that's why the LCD must be found.
What do you not have to think about when you add or subtract fractions?
Whether the denominators are common or not.
