SOLUTION: I am having trouble with this question, Find the Lowest Common Denominator of 3 7 ---- and ------ x^3 xy^4 I think the answer is xy^4 Am I right, Can

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I am having trouble with this question, Find the Lowest Common Denominator of 3 7 ---- and ------ x^3 xy^4 I think the answer is xy^4 Am I right, Can       Log On


   



Question 6292: I am having trouble with this question, Find the Lowest Common Denominator of
3 7
---- and ------
x^3 xy^4
I think the answer is
xy^4
Am I right, Can someone let me know?

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The two denominators are:
x^3 and xy^4
You can find a common denominator of these two by multiplying the highest power of the prime factors from each number.
x^3 The highest power of the prime (x is the only factor) factor is: x^3
xy^4 The highest power of the prime factors (the prime factors are x & y) is y^4
So a common denominator is: x^3 y^4
To add the two fractions, change them to their equivalent fractions with the common denominator of x^3y^4
3/x^3 = 3y^4/x^3y^4
7/xy^4 = 7x^2/x^3y^4
Now you can add these.
(3y^4 + 7x^2)/x^3y^4