Basic Math Examples

$\frac{\frac{{(y - 3)}^{2}}{5}}{\frac{5 y - 15}{25}}$

Step 1

Cancel the common factor of $5 y - 15$ and $25$ .

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Step 1.1

Factor $5$ out of $5 y$ .

$\frac{\frac{{(y - 3)}^{2}}{5}}{\frac{5 (y) - 15}{25}}$

Step 1.2

Factor $5$ out of $- 15$ .

$\frac{\frac{{(y - 3)}^{2}}{5}}{\frac{5 y + 5 \cdot - 3}{25}}$

Step 1.3

Factor $5$ out of $5 y + 5 \cdot - 3$ .

$\frac{\frac{{(y - 3)}^{2}}{5}}{\frac{5 (y - 3)}{25}}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $5$ out of $25$ .

$\frac{\frac{{(y - 3)}^{2}}{5}}{\frac{5 (y - 3)}{5 (5)}}$

Step 1.4.2

Cancel the common factor.

$\frac{\frac{{(y - 3)}^{2}}{5}}{\frac{5 (y - 3)}{5 \cdot 5}}$

Step 1.4.3

Rewrite the expression.

$\frac{\frac{{(y - 3)}^{2}}{5}}{\frac{y - 3}{5}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{{(y - 3)}^{2}}{5} \cdot \frac{5}{y - 3}$

Step 3

Cancel the common factor of $y - 3$ .

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Step 3.1

Factor $y - 3$ out of ${(y - 3)}^{2}$ .

$\frac{(y - 3) (y - 3)}{5} \cdot \frac{5}{y - 3}$

Step 3.2

Cancel the common factor.

$\frac{(y - 3) (y - 3)}{5} \cdot \frac{5}{y - 3}$

Step 3.3

Rewrite the expression.

$\frac{y - 3}{5} \cdot 5$

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Cancel the common factor.

$\frac{y - 3}{5} \cdot 5$

Step 4.2

Rewrite the expression.

$y - 3$