Pre-Algebra Examples

$\frac{\frac{3}{4} - x}{\frac{3}{4} + x}$

Step 1

Multiply the numerator and denominator of the fraction by $4$ .

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Step 1.1

Multiply $\frac{\frac{3}{4} - x}{\frac{3}{4} + x}$ by $\frac{4}{4}$ .

$\frac{4}{4} \cdot \frac{\frac{3}{4} - x}{\frac{3}{4} + x}$

Step 1.2

Combine.

$\frac{4 (\frac{3}{4} - x)}{4 (\frac{3}{4} + x)}$

Step 2

Apply the distributive property.

$\frac{4 (\frac{3}{4}) + 4 (- x)}{4 (\frac{3}{4}) + 4 x}$

Step 3

Simplify by cancelling.

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Step 3.1

Cancel the common factor of $4$ .

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Step 3.1.1

Cancel the common factor.

$\frac{4 (\frac{3}{4}) + 4 (- x)}{4 (\frac{3}{4}) + 4 x}$

Step 3.1.2

Rewrite the expression.

$\frac{3 + 4 (- x)}{4 (\frac{3}{4}) + 4 x}$

Step 3.2

Cancel the common factor of $4$ .

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Step 3.2.1

Cancel the common factor.

$\frac{3 + 4 (- x)}{4 (\frac{3}{4}) + 4 x}$

Step 3.2.2

Rewrite the expression.

$\frac{3 + 4 (- x)}{3 + 4 x}$

Step 4

Multiply $- 1$ by $4$ .

$\frac{3 - 4 x}{3 + 4 x}$