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Can you divide out common terms that are added or subtracted in numerator and denominator of a rational expression?
Wiki User
∙ 11y ago
No. Terms that are added in numerators and denominators CANNOT be divided out.
Only terms that are multiplied can be divided out.
For example:
(2x-3)/(41x-11)
Nothing can be divided out.
(4x-8)/(30x-10) -> factor out a 2 -> 2(2x-4)/2(15x-5)
Divide out the 2 because it is being multiplied so the fraction reads:
(2x-4)/(15x-5)
Wiki User
∙ 11y ago
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Can a rational function have an absolute value in the denominator?
yes
When subtracting rational expressions with a common denominator always remember to the negative sign?
Distribute
What can you say about the prime factorization of the denominator of the rational number 34 5478?
If that's 34/5478, I can say the prime factorization of the denominator is 2 x 3 x 11 x 83
Why would you want to factor each expression before multiplying or dividing 2 rational expressions?
In both cases, you may be able to cancel common factors, thus simplifying the expression.
How do you work out least common denominator?
The least common denominator, or LCD, is the smallest positive integer that all the members of a given set of denominators will divide into evenly with no remainder. also The least common denominator in fractions is the lowest "bottom" number to which all the fractions in the equation can equal for the purposes of addition and subtraction. When adding fractions, you must ensure that all fractions have the same denominator. Although it's okay to add numerators, you cannot add denominators. For example, 1/5 + 3/5 = 4/5, not 4/10. So, what do you do if you have to calculate, say, 1/2 + 1/3? Since the denominators are different, you can't simply add them up. You must find the least common denominator (LCD) and find the equivalent fractions for each of the two original fractions using the LCD in their denominators. One way of finding a common denominator -- albeit not necessarily the least (smallest) one -- is to multiply the two denominators. In the example above, 2 x 3 = 6. Six, therefore, could be substituted for the denominators of both fractions, and in this case it happens to be the LCD. But how DO you add 1/2 + 1/3? We established 6 as the new denominator, so what fraction with 6 in the denominator is equal to 1/2? Well, 3/6 is equal to 1/2. And what fraction with 6 in the denominator is equal to 1/3? That would be 2/6. So, now we have 3/6 + 2/6 = 5/6. The Least Common Denominator (or LCD) is the Least Common Multiple (LCM) of the denominators of a pair of fractions. The lowest multiple the denominators have in common.
What fraction having rational expression in its numerator or denominator or both?
If you divide a rational expression by another rational expression, you will again get a rational expression.
An expression which contains polynomials in both the numerator and denominator?
rational expression
What is an expression which contains polynomials in both the numerator and denominator?
rational expression
When can you simplify a fraction or a rational algebraic expression?
When the denominator is a factor of the numerator. If there is 2x in the numerator and denominator these terms cancel.
How do you write a rational number as a decimal?
You divide the numerator of the rational expression by its denominator.
The first step in reducing a rational expression is to both the numerator and denominator?
factor
When is a rational expression Simplified?
When the only common factor between numerator and denominator is 1.
The first step in reducing a rational expression is to do what to both the numerator and denominator?
To reduce a fraction to its lowest terms divide the numerator and the denominator by their highest common factor
What are some Rational expression examples?
Just write ANY fraction, with a polynomial in the numerator, and a polynomial in the denominator.
What is true about both the numerator and denominator of rational expressions?
Both the numerator and denominator are polynomials
What is the greatest common factor GCF of the numerator and denominator of the rational expression below?
You didn't include the expression below. Without that that, we'd only be guessing.
When is a rational expression written in its simplest form?
When the numerator and denominator are coprime - ie have no factor in common other than 1.
