Question

1. what is the numerator of the complex fraction \\(\frac{\frac{3x + 11}{5x - 9}}{\frac{6x - 2}{3x - 3}}\\)?

\\(\bigcirc\\) \\(6x - 2\\)
\\(\bigcirc\\) \\(3x + 11\\)
\\(\bigcirc\\) \\(\frac{3x + 11}{5x - 9}\\)
\\(\bigcirc\\) \\(\frac{5x - 9}{6x - 2}\\)

Explanation:

Step1: Identify complex fraction structure

A complex fraction has fractions in numerator/denominator. Here, the complex fraction is \(\frac{\frac{3x+11}{5x-9}}{\frac{5x-9}{6x-2}}\).

Step2: Find the numerator

The top part of the complex fraction is \(\frac{3x+11}{5x-9}\), whose numerator is \(3x + 11\).

Answer:

B. \(3x + 11\)