simplify the complex fraction 4/(x+3)/(1/x + 3)
To simplify the complex fraction 4/(x+3)/(1/x + 3), we first need to turn the division of fractions into multiplication by taking the reciprocal of the second fraction:
4/(x+3) * (x/1+3)
Now, we multiply the numerators together and the denominators together:
4x / [(x+3)(1+3)]
= 4x / (x+3)(4)
= x / (x+3)
Therefore, the simplified form of the complex fraction 4/(x+3)/(1/x + 3) is x / (x+3).