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Fully simplify 2 4w+5 X 36w+45 w

June 20, 2026Mathematics

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Answer

\frac{18}{w}

4 steps

Factor the numerator of the second fraction.
Notice that $36w$ and 45 are both multiples of 9.
$36w + 45 = 9(4w + 5)$
Substitute the factored expression back into the original problem.
$\frac{2}{4w+5} \times \frac{9(4w+5)}{w}$
Cancel out the common term $(4w+5)$ from the numerator and the denominator.
$\frac{2}{\cancel{4w+5}} \times \frac{9\cancel{(4w+5)}}{w}$
Multiply the remaining terms.
$\frac{2}{1} \times \frac{9}{w} = \frac{2 \times 9}{1 \times w} = \frac{18}{w}$
The fully simplified expression is:
$\frac{18}{w}$