Need help solving this algebraic complex fraction please.
a+3/b
------
b+3/a
I know LCM= is ab
but then i get stuck
multiply numerator and denominator by ab
I am not certain of if you have (a+3)/b or a+ (3/b)
Assuming it is this:
(a+3)/b
-------
(b+3)/a
then
a(a+3)
------
b(b+3)
it is a+(3/b)
and b+(3/a)
Thanks
To simplify the given algebraic complex fraction, you can follow these steps:
Step 1: Find the least common multiple (LCM) of the denominators, which are (b) and (a).
In this case, the LCM of (b) and (a) is simply the product of the two denominators, so LCM = ab.
Step 2: Multiply the numerator and denominator of the entire fraction by the LCM found in Step 1.
(a + 3/b) * (ab/ab) / (b + 3/a) * (ab/ab)
This will ensure that the denominators of the fractions become the same, making it easier to simplify the complex fraction.
Step 3: Simplify the complex fraction with the expanded numerators and common denominator.
(a * ab + 3ab) / (b * ab + 3ab)
Simplifying the numerators:
(ab² + 3ab) / (ab² + 3ab)
Step 4: Cancel out common factors in the numerator and denominator.
Since ab² + 3ab appears in both the numerator and denominator, you can cancel them out, resulting in:
1 / 1
Therefore, the simplified form of the given algebraic complex fraction is 1.