Write the Fraction in Simplest Form (12a^2-21a)/(12a^2-28a)

$\frac{12 a^{2} - 21 a}{12 a^{2} - 28 a}$

Step 1

Factor $3 a$ out of $12 a^{2} - 21 a$ .

Factor $3 a$ out of $12 a^{2}$ .

$\frac{3 a (4 a) - 21 a}{12 a^{2} - 28 a}$

Factor $3 a$ out of $- 21 a$ .

$\frac{3 a (4 a) + 3 a (- 7)}{12 a^{2} - 28 a}$

Factor $3 a$ out of $3 a (4 a) + 3 a (- 7)$ .

$\frac{3 a (4 a - 7)}{12 a^{2} - 28 a}$

$\frac{3 a (4 a - 7)}{12 a^{2} - 28 a}$

Step 2

Factor $4 a$ out of $12 a^{2} - 28 a$ .

Factor $4 a$ out of $12 a^{2}$ .

$\frac{3 a (4 a - 7)}{4 a (3 a) - 28 a}$

Factor $4 a$ out of $- 28 a$ .

$\frac{3 a (4 a - 7)}{4 a (3 a) + 4 a (- 7)}$

Factor $4 a$ out of $4 a (3 a) + 4 a (- 7)$ .

$\frac{3 a (4 a - 7)}{4 a (3 a - 7)}$

$\frac{3 a (4 a - 7)}{4 a (3 a - 7)}$

Step 3

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{3 a (4 a - 7)}{4 a (3 a - 7)}$

Rewrite the expression.

$\frac{3 (4 a - 7)}{4 (3 a - 7)}$

$\frac{3 (4 a - 7)}{4 (3 a - 7)}$

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