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Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.

(27)/(15x^(3))
Answer:

Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.\newline2715x3 \frac{27}{15 x^{3}} \newlineAnswer:

Full solution

Q. Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.\newline2715x3 \frac{27}{15 x^{3}} \newlineAnswer:
  1. Factor out common factor: Factor out the greatest common factor from the numerator and the denominator.\newlineThe greatest common factor of 2727 and 1515 is 33. We can divide both the numerator and the denominator by 33 to simplify the fraction.\newline2715x3=3×93×5x3\frac{27}{15x^{3}} = \frac{3\times 9}{3\times 5x^{3}}\newlineAfter canceling out the common factor of 33, we get:\newline95x3\frac{9}{5x^{3}}
  2. Divide by common factor: Check if the fraction can be simplified further.\newlineThe numerator 99 and the denominator 5x35x^{3} do not have any more common factors, and the variable xx is already in its simplest form in the denominator.\newlineTherefore, the fraction is fully simplified.

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