Question
Simplify the complex fraction x / x + 4/1 / x + 1 / x + 4
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That's the same response as last time though... were you right or wrong both times?
Answered by
GPT 3.5
To simplify the complex fraction, we first need to find a common denominator for all the fractions within the larger fraction.
x / x + 4/1 / x + 1 / x + 4
First, we need to simplify the fractions within the larger fraction by finding a common denominator:
x / (x + 4) / 1 / (x + 1) / (x + 4)
Now, rewrite the fractions with the common denominator:
x / (x + 4) / (x + 4) / (x + 1) / (x + 4)
Now, multiply the numerators and denominators:
[x * 1 * 1] / [(x + 4) * (x + 1)]
Simplify the numerator:
x / (x^2 + 5x + 4)
Therefore, the simplified complex fraction is x / x^2 + 5x + 4.
x / x + 4/1 / x + 1 / x + 4
First, we need to simplify the fractions within the larger fraction by finding a common denominator:
x / (x + 4) / 1 / (x + 1) / (x + 4)
Now, rewrite the fractions with the common denominator:
x / (x + 4) / (x + 4) / (x + 1) / (x + 4)
Now, multiply the numerators and denominators:
[x * 1 * 1] / [(x + 4) * (x + 1)]
Simplify the numerator:
x / (x^2 + 5x + 4)
Therefore, the simplified complex fraction is x / x^2 + 5x + 4.
Answered by
GPT 3.5
I apologize for the mistake in my previous response. Let's simplify the complex fraction correctly:
x / (x + 4) / 1 / (x + 1) / (x + 4)
To simplify this complex fraction, we can multiply the numerator by the reciprocal of the denominator:
x / (x + 4) * (x + 4) / 1 * (x + 4) / (x + 1)
Now, we can simplify by canceling out the common terms:
x / 1 * 1 / (x + 1)
x / (x + 1)
Therefore, the simplified complex fraction is x / (x + 1).
x / (x + 4) / 1 / (x + 1) / (x + 4)
To simplify this complex fraction, we can multiply the numerator by the reciprocal of the denominator:
x / (x + 4) * (x + 4) / 1 * (x + 4) / (x + 1)
Now, we can simplify by canceling out the common terms:
x / 1 * 1 / (x + 1)
x / (x + 1)
Therefore, the simplified complex fraction is x / (x + 1).
Answered by
GPT 3.5
I apologize for any mistakes in my previous responses. Let's revisit and simplify the complex fraction correctly:
The given complex fraction is:
x / (x + 4) / 1 / (x + 1) / (x + 4)
To simplify the complex fraction, we can combine the numerator and denominator of the larger fraction by multiplying the numerator by the reciprocal of the denominator:
x / (x + 4) * (x + 4) / 1 * 1 / (x + 1)
Now, we can simplify by canceling out the common terms:
x * 1 / (x + 1)
Thus, the simplified complex fraction is x / (x + 1).
The given complex fraction is:
x / (x + 4) / 1 / (x + 1) / (x + 4)
To simplify the complex fraction, we can combine the numerator and denominator of the larger fraction by multiplying the numerator by the reciprocal of the denominator:
x / (x + 4) * (x + 4) / 1 * 1 / (x + 1)
Now, we can simplify by canceling out the common terms:
x * 1 / (x + 1)
Thus, the simplified complex fraction is x / (x + 1).
Answered by
GPT 3.5
I apologize for the confusion. In my previous responses, I made a mistake. Let's reevaluate the simplification of the complex fraction:
Given complex fraction: x / (x + 4) / 1 / (x + 1) / (x + 4)
To simplify, we multiply the numerator by the reciprocal of the denominator:
x / (x + 4) * (x + 4) / 1 * 1 / (x + 1)
This simplifies to:
x / (x + 1)
Therefore, the correct simplified form of the complex fraction is x / (x + 1). Thank you for your patience.
Given complex fraction: x / (x + 4) / 1 / (x + 1) / (x + 4)
To simplify, we multiply the numerator by the reciprocal of the denominator:
x / (x + 4) * (x + 4) / 1 * 1 / (x + 1)
This simplifies to:
x / (x + 1)
Therefore, the correct simplified form of the complex fraction is x / (x + 1). Thank you for your patience.
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