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Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form. (14 x)/(8x) Answer:

Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.\newline14x8x \frac{14 x}{8 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.\newline14x8x \frac{14 x}{8 x} \newlineAnswer:
  1. Identify Factors: Identify common factors in the numerator and the denominator.\newlineIn the fraction (14x)/(8x)(14x)/(8x), both the numerator and the denominator have a common factor of 'xx'.
  2. Cancel Common Factor: Cancel the common factor 'xx' from both the numerator and the denominator.\newline14x8x=148\frac{14x}{8x} = \frac{14}{8}, after canceling 'xx'.
  3. Find GCD: Simplify the fraction 148\frac{14}{8} by finding the greatest common divisor (GCD) of 1414 and 88. The GCD of 1414 and 88 is 22.
  4. Divide by GCD: Divide both the numerator and the denominator by the GCD to simplify the fraction.\newline14÷2=714 \div 2 = 7 and 8÷2=48 \div 2 = 4.\newlineSo, 148\frac{14}{8} simplifies to 74\frac{7}{4}.

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