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Factor out the common term from the numerator.

May 20, 2026Mathematics

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Answer

\frac{a}{3b}

4 steps

Here's how to simplify the expression:

Factor out the common term from the numerator.
The numerator is $ax + 2ay$ . The common factor is $a$ .
$ax + 2ay = a(x + 2y)$
Factor out the common term from the denominator.
The denominator is $3bx + 6by$ . The common factor is $3b$ .
$3bx + 6by = 3b(x + 2y)$
Rewrite the expression with the factored terms.
$\frac{a(x + 2y)}{3b(x + 2y)}$
Cancel out the common factor $(x + 2y)$ from the numerator and denominator.
$\frac{a}{3b}$

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