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Why is it the best to use the LCD rather than just any common denominator in adding or subtracting rational expressions?
Wiki User
∙ 9y ago
So that unlike fractions can be converted to like fractions, eg: 1/2 and 1/3 are equvalent to 3/6 and 2/6, 6 being the LCD of 2 and 3. You can now add them (giving 5/6) or subtract the lesser (giving 1/6)
Wiki User
∙ 14y ago
Wiki User
∙ 9y agoUsing the LCD means you are working with smaller numbers. Also, the answer may require less simplification at the end.
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How you use the least common multiple?
When adding or subtracting unlike fractions, the LCM process is used to find the least common denominator.
how to rename fractions using LCM?
When adding or subtracting fractions with different denominators their lowest common denominator must be found first by using the LCM of their denominators
What types of problems can be solved using the the LCM?
Anything having to do with adding or subtracting unlike fractions.
What is least common denominator of 14 and 17?
A single number cannot have anything in common. To find a lowest common denominator, you need to be adding or subtracting at least two fractions.
What is the least common multiple used for?
It helps with the adding and subtracting of fractions.
How would you find the LCD when adding or subtracting rational expressions with different denominators?
No
What do you subtract when you have two rational expressions that have a common denominator?
When subtracting you have to make sure that the second numerator is multiplied by -1 so the equation turns into adding. When you add and you already have a common denominator you add the numerators and leave the denominator the same.
How is doing operations with rational expressions similar or different from doing equations with fractions and how can they be used in real life?
How is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions?If you know how to do arithmetic with rational numbers you will understand the arithmetic with rational functions! Doing operations (adding, subtracting, multiplying, and dividing) is very similar. When you areadding or subtracting they both require a common denominator. When multiplying or dividing it works the same for instance reducing by factoring. Operations on rational expressions is similar to doing operations on fractions. You have to come up with a common denominator in order to add or subtract. To multiply the numerators and denominators separated. In division you flip the second fraction and multiply. The difference is that rational expressions can have variable letters and powers in them.
Adding and Subtracting Rational Expressions?
8-3/x-3+x/x-9=
Do you need a common denominator when adding subtracting multiplying or dividing?
only when adding and subtracting
Why is it important to simplify radical expressions before subtracting or adding and how is adding a radical expression similar to adding a polynomial expression and provide an example?
Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify..
What is meant by adding the opposite when subtracting expressions?
Get a tutor.
If you are adding or subtracting rational expressions with different polynomial expressions in the denominator explain how you would find the LCD.?
To find the least common denominator (LCD) when adding or subtracting rational expressions with different polynomial expressions in the denominator, first factor each denominator completely. Then, identify the common factors and include each factor to the highest power it appears in any of the denominators. Finally, multiply these factors together to determine the LCD.
When adding or subtracting fractions you must get a?
A Common Denominator
Does the numerator or denominator change when adding or subtracting?
numerator
What did you learn from adding and subtracting fractions?
I learned to always change the denominators before adding or subtracting the numerators. You must always have a common denominator before adding or subtracting.
Why do you have to have a common denominator?
A common denominator is needed when adding or subtracting fractions of different denominators.
