Algebra Examples

$\frac{4 x}{24} = \frac{56}{112}$

Step 1

Cancel the common factor of $4$ and $24$ .

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Step 1.1

Factor $4$ out of $4 x$ .

$\frac{4 (x)}{24} = \frac{56}{112}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $24$ .

$\frac{4 x}{4 \cdot 6} = \frac{56}{112}$

Step 1.2.2

Cancel the common factor.

$\frac{4 x}{4 \cdot 6} = \frac{56}{112}$

Step 1.2.3

Rewrite the expression.

$\frac{x}{6} = \frac{56}{112}$

$\frac{x}{6} = \frac{56}{112}$

$\frac{x}{6} = \frac{56}{112}$

Step 2

Multiply both sides by $6$ .

$\frac{x}{6} \cdot 6 = \frac{56}{112} \cdot 6$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $6$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{x}{6} \cdot 6 = \frac{56}{112} \cdot 6$

Step 3.1.1.2

Rewrite the expression.

$x = \frac{56}{112} \cdot 6$

$x = \frac{56}{112} \cdot 6$

$x = \frac{56}{112} \cdot 6$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $\frac{56}{112} \cdot 6$ .

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Step 3.2.1.1

Cancel the common factor of $2$ .

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Step 3.2.1.1.1

Factor $2$ out of $112$ .

$x = \frac{56}{2 (56)} \cdot 6$

Step 3.2.1.1.2

Factor $2$ out of $6$ .

$x = \frac{56}{2 \cdot 56} \cdot (2 \cdot 3)$

Step 3.2.1.1.3

Cancel the common factor.

$x = \frac{56}{2 \cdot 56} \cdot (2 \cdot 3)$

Step 3.2.1.1.4

Rewrite the expression.

$x = \frac{56}{56} \cdot 3$

$x = \frac{56}{56} \cdot 3$

Step 3.2.1.2

Combine $\frac{56}{56}$ and $3$ .

$x = \frac{56 \cdot 3}{56}$

Step 3.2.1.3

Simplify the expression.

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Step 3.2.1.3.1

Multiply $56$ by $3$ .

$x = \frac{168}{56}$

Step 3.2.1.3.2

Divide $168$ by $56$ .

$x = 3$

$x = 3$

$x = 3$

$x = 3$

$x = 3$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$