Question Simplify the fraction $\frac{2 q^{8} r}{6 q^{4}}$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $\frac{ q^{8} r}{6 q^{4}}$ . We need to simplify this expression to its simplest form

STEP 2

First, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor. In this case, the greatest common divisor is $2q^{4}$ .
$\frac{2 q^{8} r}{6 q^{4}} = \frac{2 q^{8} r /2q^{4}}{6 q^{4} /2q^{4}}$

STEP 3

Divide the numerator and the denominator by $2q^{}$ .
$\frac{2 q^{8} r /2q^{}}{6 q^{} /2q^{}} = \frac{q^{} r}{3}$ This is the simplest form of the given fraction.

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