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Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form. (7x)/(5x) Answer:

Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.\newline7x5x \frac{7 x}{5 x} \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.\newline7x5x \frac{7 x}{5 x} \newlineAnswer:
  1. Identify Factors: Identify common factors in the numerator and the denominator.\newlineIn the fraction (7x)/(5x)(7x)/(5x), both the numerator and the denominator have a common factor of 'xx'.
  2. Divide by Common Factor: Divide both the numerator and the denominator by the common factor xx. 7x5x=75×xx\frac{7x}{5x} = \frac{7}{5} \times \frac{x}{x}
  3. Cancel Common Factor: Simplify the fraction by canceling out the common factor xx. (x/x)=1(x/x) = 1, so the fraction simplifies to 7/57/5.
  4. Check for Further Reduction: Check if the simplified fraction can be reduced further. Since 77 and 55 have no common factors other than 11, the fraction 75\frac{7}{5} is already in its simplest form.

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