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Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form. (32 x)/(44x^(2)) Answer:

Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.\newline32x44x2 \frac{32 x}{44 x^{2}} \newlineAnswer:

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Csc, sec, and cot of special anglesright chevron icon

Full solution

Q. Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.\newline32x44x2 \frac{32 x}{44 x^{2}} \newlineAnswer:
  1. Factor out common terms: Factor out the common terms in the numerator and the denominator.\newlineThe fraction (32x)/(44x2)(32x)/(44x^2) can be simplified by factoring out the common xx term and reducing the numerical coefficients.
  2. Divide by common term: Divide both the numerator and the denominator by the common term xx.32x44x2=3244(xx2)=3244(1x)\frac{32x}{44x^2} = \frac{32}{44}\left(\frac{x}{x^2}\right) = \frac{32}{44}\left(\frac{1}{x}\right)
  3. Simplify numerical fraction: Simplify the numerical fraction 3244\frac{32}{44} by dividing both the numerator and the denominator by their greatest common divisor, which is 44.\newline(3244)=(32÷444÷4)=811(\frac{32}{44}) = (\frac{32 \div 4}{44 \div 4}) = \frac{8}{11}
  4. Combine with variable term: Combine the simplified numerical fraction with the remaining variable term.\newline(811)(1x)=811x(\frac{8}{11})(\frac{1}{x}) = \frac{8}{11x}

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