Basic Math Examples

$\frac{11 v - 11}{35} \div \frac{v - 1}{49}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{11 v - 11}{35} \cdot \frac{49}{v - 1}$

Step 2

Simplify terms.

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Step 2.1

Cancel the common factor of $7$ .

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Step 2.1.1

Factor $7$ out of $35$ .

$\frac{11 v - 11}{7 (5)} \cdot \frac{49}{v - 1}$

Step 2.1.2

Factor $7$ out of $49$ .

$\frac{11 v - 11}{7 \cdot 5} \cdot \frac{7 \cdot 7}{v - 1}$

Step 2.1.3

Cancel the common factor.

$\frac{11 v - 11}{7 \cdot 5} \cdot \frac{7 \cdot 7}{v - 1}$

Step 2.1.4

Rewrite the expression.

$\frac{11 v - 11}{5} \cdot \frac{7}{v - 1}$

Step 2.2

Multiply $\frac{11 v - 11}{5}$ by $\frac{7}{v - 1}$ .

$\frac{(11 v - 11) \cdot 7}{5 (v - 1)}$

Step 3

Simplify the numerator.

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Step 3.1

Factor $11$ out of $11 v - 11$ .

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Step 3.1.1

Factor $11$ out of $11 v$ .

$\frac{(11 (v) - 11) \cdot 7}{5 (v - 1)}$

Step 3.1.2

Factor $11$ out of $- 11$ .

$\frac{(11 (v) + 11 (- 1)) \cdot 7}{5 (v - 1)}$

Step 3.1.3

Factor $11$ out of $11 (v) + 11 (- 1)$ .

$\frac{11 (v - 1) \cdot 7}{5 (v - 1)}$

Step 3.2

Multiply $7$ by $11$ .

$\frac{77 (v - 1)}{5 (v - 1)}$

Step 4

Cancel the common factor of $v - 1$ .

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Step 4.1

Cancel the common factor.

$\frac{77 (v - 1)}{5 (v - 1)}$

Step 4.2

Rewrite the expression.

$\frac{77}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{77}{5}$

Decimal Form:

$15.4$

Mixed Number Form:

$15 \frac{2}{5}$