How do i solve this complex fraction??
X+3/3x^2/6x^2/(x+3)^2
You will have to insert brackets to establish the correct order of division.
I will not even attempt to guess what the question really looks like
Ok i will use the dash mark as a division symbol
x+3
-----
3x^2
------
6x^2
------
(x+3)^2
Sorry it looks messed up but do u get what i mean?
To solve this complex fraction, you can simplify it by dividing the fraction into smaller parts and perform the necessary operations step by step. Here's how you can do it:
Step 1: Simplify the numerator.
The numerator of the fraction is X + 3. Since there is no further simplification possible, we keep it as it is.
Step 2: Simplify the denominator.
The denominator of the fraction is (3x^2 / 6x^2) / (x + 3)^2. Notice that the denominator has another fraction within it. To simplify this, you need to divide the first fraction by the second fraction. The expression can be written as follows:
(3x^2 / 6x^2) ÷ (x + 3)^2
Step 3: Simplify the inner fraction.
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. The expression can be simplified as follows:
(3x^2 / 6x^2) × (1 / (x + 3)^2)
Simplifying the fraction, we get:
(3x^2 / 6x^2) × (1 / (x^2 + 6x + 9))
Step 4: Cancel out common factors.
There is a common factor of x^2 in both the numerator and the denominator. Cancel out these common factors to simplify further:
(3 / 6) × (1 / (x^2 + 6x + 9))
Simplifying, we have:
(1 / 2) × (1 / (x^2 + 6x + 9))
The final simplified expression is:
(1 / (2(x^2 + 6x + 9)))
So, the complex fraction X + 3 / 3x^2 / 6x^2 / (x + 3)^2 simplifies to (1 / (2(x^2 + 6x + 9))).