Question

mplify.
\frac{36yz}{63xyz}

Explanation:

Step1: Cancel common factors in numerator and denominator

First, we can cancel out the common variables \( y \) and \( z \) from the numerator and the denominator. So we have \(\frac{36}{63x}\) left.

Step2: Simplify the fraction \(\frac{36}{63}\)

We find the greatest common divisor (GCD) of 36 and 63. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. The factors of 63 are 1, 3, 7, 9, 21, 63. The GCD of 36 and 63 is 9. We divide both the numerator and the denominator by 9: \(\frac{36\div9}{63\div9}=\frac{4}{7}\). So the simplified form is \(\frac{4}{7x}\).

Answer:

\(\frac{4}{7x}\)