Algebra Examples

$\frac{\frac{a}{c} \cdot \frac{b}{a}}{\frac{a c}{4 a}}$

Step 1

Cancel the common factor of $a$ .

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Step 1.1

Cancel the common factor.

$\frac{\frac{a}{c} \cdot \frac{b}{a}}{\frac{a c}{4 a}}$

Step 1.2

Rewrite the expression.

$\frac{\frac{a}{c} \cdot \frac{b}{a}}{\frac{c}{4}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{a}{c} \cdot \frac{b}{a} \frac{4}{c}$

Step 3

Cancel the common factor of $a$ .

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Step 3.1

Cancel the common factor.

$\frac{a}{c} \cdot \frac{b}{a} \frac{4}{c}$

Step 3.2

Rewrite the expression.

$\frac{1}{c} \cdot b \frac{4}{c}$

Step 4

Combine $\frac{1}{c}$ and $b$ .

$\frac{b}{c} \cdot \frac{4}{c}$

Step 5

Multiply $\frac{b}{c} \cdot \frac{4}{c}$ .

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Step 5.1

Multiply $\frac{b}{c}$ by $\frac{4}{c}$ .

$\frac{b \cdot 4}{c \cdot c}$

Step 5.2

Raise $c$ to the power of $1$ .

$\frac{b \cdot 4}{c^{1} c}$

Step 5.3

Raise $c$ to the power of $1$ .

$\frac{b \cdot 4}{c^{1} c^{1}}$

Step 5.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{b \cdot 4}{c^{1 + 1}}$

Step 5.5

Add $1$ and $1$ .

$\frac{b \cdot 4}{c^{2}}$

Step 6

Move $4$ to the left of $b$ .

$\frac{4 b}{c^{2}}$