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simplify the fraction completely. if the fraction does not simplify, su…

Question

simplify the fraction completely. if the fraction does not simplify, submit the fraction in its current form.
$\frac{18x^{2}}{42}$

Explanation:

Step1: Find GCD of 18 and 42

Find the greatest - common divisor of 18 and 42. The factors of 18 are 1, 2, 3, 6, 9, 18. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. The GCD of 18 and 42 is 6.

Step2: Divide numerator and denominator by GCD

Divide both the numerator \(18x^{2}\) and the denominator 42 by 6. \(\frac{18x^{2}\div6}{42\div6}=\frac{3x^{2}}{7}\)

Answer:

\(\frac{3x^{2}}{7}\)