Basic Math Examples

$\frac{{(y - 12)}^{2}}{4} \div \frac{4 y - 48}{16}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{{(y - 12)}^{2}}{4} \cdot \frac{16}{4 y - 48}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $16$ .

$\frac{{(y - 12)}^{2}}{4} \cdot \frac{4 (4)}{4 y - 48}$

Step 2.2

Cancel the common factor.

$\frac{{(y - 12)}^{2}}{4} \cdot \frac{4 \cdot 4}{4 y - 48}$

Step 2.3

Rewrite the expression.

${(y - 12)}^{2} \frac{4}{4 y - 48}$

Step 3

Combine ${(y - 12)}^{2}$ and $\frac{4}{4 y - 48}$ .

$\frac{{(y - 12)}^{2} \cdot 4}{4 y - 48}$

Step 4

Cancel the common factor of $4$ and $4 y - 48$ .

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Step 4.1

Factor $4$ out of ${(y - 12)}^{2} \cdot 4$ .

$\frac{4 \cdot {(y - 12)}^{2}}{4 y - 48}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $4$ out of $4 y$ .

$\frac{4 \cdot {(y - 12)}^{2}}{4 (y) - 48}$

Step 4.2.2

Factor $4$ out of $- 48$ .

$\frac{4 \cdot {(y - 12)}^{2}}{4 y + 4 \cdot - 12}$

Step 4.2.3

Factor $4$ out of $4 y + 4 \cdot - 12$ .

$\frac{4 \cdot {(y - 12)}^{2}}{4 (y - 12)}$

Step 4.2.4

Cancel the common factor.

$\frac{4 \cdot {(y - 12)}^{2}}{4 (y - 12)}$

Step 4.2.5

Rewrite the expression.

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

Step 5

Cancel the common factor of ${(y - 12)}^{2}$ and $y - 12$ .

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Step 5.1

Factor $y - 12$ out of ${(y - 12)}^{2}$ .

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

Multiply by $1$ .

$\frac{(y - 12) (y - 12)}{(y - 12) \cdot 1}$

Step 5.2.2

Cancel the common factor.

$\frac{(y - 12) (y - 12)}{(y - 12) \cdot 1}$

Step 5.2.3

Rewrite the expression.

$\frac{y - 12}{1}$

Step 5.2.4

Divide $y - 12$ by $1$ .

$y - 12$