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Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form. (84 x)/(96 x) Answer:

Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.\newline84x96x \frac{84 x}{96 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.\newline84x96x \frac{84 x}{96 x} \newlineAnswer:
  1. Factor Out Common Terms: Factor out the common terms in the numerator and the denominator.\newlineThe fraction (84x)/(96x)(84 x)/(96 x) has a common factor of xx in both the numerator and the denominator. We can cancel out this common factor.\newline(84x)/(96x)=84/96(84 x)/(96 x) = 84/96
  2. Simplify Fraction with GCD: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 8484 and 9696 is 1212. We divide both the numerator and the denominator by 1212 to simplify the fraction.\newline84÷12=784 \div 12 = 7\newline96÷12=896 \div 12 = 8\newlineSo, the simplified fraction is 78\frac{7}{8}.
  3. Check for Further Simplification: Check for any further simplification.\newlineSince 77 and 88 are coprime (they have no common factors other than 11), the fraction 78\frac{7}{8} cannot be simplified further.

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