Basic Math Examples

$\frac{\frac{1}{7 u} - 3}{2 + \frac{1}{7 u}}$

Step 1

Multiply the numerator and denominator of the fraction by $7 u$ .

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Step 1.1

Multiply $\frac{\frac{1}{7 u} - 3}{2 + \frac{1}{7 u}}$ by $\frac{7 u}{7 u}$ .

$\frac{7 u}{7 u} \cdot \frac{\frac{1}{7 u} - 3}{2 + \frac{1}{7 u}}$

Step 1.2

Combine.

$\frac{7 u (\frac{1}{7 u} - 3)}{7 u (2 + \frac{1}{7 u})}$

Step 2

Apply the distributive property.

$\frac{7 u \frac{1}{7 u} + 7 u \cdot - 3}{7 u \cdot 2 + 7 u \frac{1}{7 u}}$

Step 3

Simplify by cancelling.

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Step 3.1

Cancel the common factor of $7 u$ .

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Step 3.1.1

Cancel the common factor.

$\frac{7 u \frac{1}{7 u} + 7 u \cdot - 3}{7 u \cdot 2 + 7 u \frac{1}{7 u}}$

Step 3.1.2

Rewrite the expression.

$\frac{1 + 7 u \cdot - 3}{7 u \cdot 2 + 7 u \frac{1}{7 u}}$

Step 3.2

Cancel the common factor of $7 u$ .

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Step 3.2.1

Cancel the common factor.

$\frac{1 + 7 u \cdot - 3}{7 u \cdot 2 + 7 u \frac{1}{7 u}}$

Step 3.2.2

Rewrite the expression.

$\frac{1 + 7 u \cdot - 3}{7 u \cdot 2 + 1}$

Step 4

Multiply.

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Step 4.1

Multiply $- 3$ by $7$ .

$\frac{1 - 21 u}{7 u \cdot 2 + 1}$

Step 4.2

Multiply $2$ by $7$ .

$\frac{1 - 21 u}{14 u + 1}$