Basic Math Examples

$\frac{\frac{7 y - 63}{22}}{\frac{y - 9}{55}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{7 y - 63}{22} \cdot \frac{55}{y - 9}$

Step 2

Simplify terms.

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Step 2.1

Cancel the common factor of $11$ .

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Step 2.1.1

Factor $11$ out of $22$ .

$\frac{7 y - 63}{11 (2)} \cdot \frac{55}{y - 9}$

Step 2.1.2

Factor $11$ out of $55$ .

$\frac{7 y - 63}{11 \cdot 2} \cdot \frac{11 \cdot 5}{y - 9}$

Step 2.1.3

Cancel the common factor.

$\frac{7 y - 63}{11 \cdot 2} \cdot \frac{11 \cdot 5}{y - 9}$

Step 2.1.4

Rewrite the expression.

$\frac{7 y - 63}{2} \cdot \frac{5}{y - 9}$

Step 2.2

Multiply $\frac{7 y - 63}{2}$ by $\frac{5}{y - 9}$ .

$\frac{(7 y - 63) \cdot 5}{2 (y - 9)}$

Step 3

Simplify the numerator.

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Step 3.1

Factor $7$ out of $7 y - 63$ .

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Step 3.1.1

Factor $7$ out of $7 y$ .

$\frac{(7 (y) - 63) \cdot 5}{2 (y - 9)}$

Step 3.1.2

Factor $7$ out of $- 63$ .

$\frac{(7 y + 7 \cdot - 9) \cdot 5}{2 (y - 9)}$

Step 3.1.3

Factor $7$ out of $7 y + 7 \cdot - 9$ .

$\frac{7 (y - 9) \cdot 5}{2 (y - 9)}$

Step 3.2

Multiply $5$ by $7$ .

$\frac{35 (y - 9)}{2 (y - 9)}$

Step 4

Cancel the common factor of $y - 9$ .

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Step 4.1

Cancel the common factor.

$\frac{35 (y - 9)}{2 (y - 9)}$

Step 4.2

Rewrite the expression.

$\frac{35}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{35}{2}$

Decimal Form:

$17.5$

Mixed Number Form:

$17 \frac{1}{2}$