Simplify the expression completely if possible.
start fraction, 9, x, plus, 27, divided by, 27, x, end fraction
27x
9x+27
The simplified expression is 9x+1.
To simplify the expression (9x + 27) / (27x), we can simplify the numerator and denominator separately and then divide them.
First, let's simplify the numerator (9x + 27):
This expression has a common factor of 9, so we can factor it out:
9(x + 3)
Now let's simplify the denominator, which is 27x:
This expression has a common factor of 27, so we can factor it out:
27(x)
Now we can rewrite the expression as:
(9(x + 3)) / (27(x))
Next, we can simplify further by canceling out the common factor of 9 between the numerator and denominator:
( x + 3 ) / (3x)
So, the simplified form of the expression (9x + 27) / (27x) is ( x + 3 ) / (3x).
To simplify the expression (9x + 27) / (27x) completely, we can factor out the greatest common factor from the numerator and the denominator.
First, let's find the greatest common factor (GCF) of 9x and 27. Both numbers are divisible by 9, so the GCF is 9.
We can rewrite 9x and 27 as multiples of 9:
9x = 9 * x
27 = 9 * 3
Now, let's simplify the numerator and denominator using the GCF:
(9 * x + 9 * 3) / (9 * 3 * x)
Factoring out 9 from the numerator:
(9 * (x + 3)) / (9 * 3 * x)
Simplifying by canceling out the common factors:
(x + 3) / (3 * x)
Therefore, the simplified expression is (x + 3) / (3x).