Finite Math Examples

$\frac{\frac{{(y - 7)}^{2}}{12}}{\frac{12 y - 84}{144}}$

Step 1

Cancel the common factor of $12 y - 84$ and $144$ .

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Step 1.1

Factor $12$ out of $12 y$ .

$\frac{\frac{{(y - 7)}^{2}}{12}}{\frac{12 (y) - 84}{144}}$

Step 1.2

Factor $12$ out of $- 84$ .

$\frac{\frac{{(y - 7)}^{2}}{12}}{\frac{12 y + 12 \cdot - 7}{144}}$

Step 1.3

Factor $12$ out of $12 y + 12 \cdot - 7$ .

$\frac{\frac{{(y - 7)}^{2}}{12}}{\frac{12 (y - 7)}{144}}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $12$ out of $144$ .

$\frac{\frac{{(y - 7)}^{2}}{12}}{\frac{12 (y - 7)}{12 (12)}}$

Step 1.4.2

Cancel the common factor.

$\frac{\frac{{(y - 7)}^{2}}{12}}{\frac{12 (y - 7)}{12 \cdot 12}}$

Step 1.4.3

Rewrite the expression.

$\frac{\frac{{(y - 7)}^{2}}{12}}{\frac{y - 7}{12}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{{(y - 7)}^{2}}{12} \cdot \frac{12}{y - 7}$

Step 3

Cancel the common factor of $y - 7$ .

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Step 3.1

Factor $y - 7$ out of ${(y - 7)}^{2}$ .

$\frac{(y - 7) (y - 7)}{12} \cdot \frac{12}{y - 7}$

Step 3.2

Cancel the common factor.

$\frac{(y - 7) (y - 7)}{12} \cdot \frac{12}{y - 7}$

Step 3.3

Rewrite the expression.

$\frac{y - 7}{12} \cdot 12$

Step 4

Cancel the common factor of $12$ .

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Step 4.1

Cancel the common factor.

$\frac{y - 7}{12} \cdot 12$

Step 4.2

Rewrite the expression.

$y - 7$