Pre-Algebra Examples

$\frac{6}{7} x = 24$

Step 1

Multiply both sides of the equation by $\frac{7}{6}$ .

$\frac{7}{6} (\frac{6}{7} x) = \frac{7}{6} \cdot 24$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{7}{6} (\frac{6}{7} x)$ .

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Step 2.1.1.1

Combine $\frac{6}{7}$ and $x$ .

$\frac{7}{6} \cdot \frac{6 x}{7} = \frac{7}{6} \cdot 24$

Step 2.1.1.2

Cancel the common factor of $7$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{7}{6} \cdot \frac{6 x}{7} = \frac{7}{6} \cdot 24$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{6} (6 x) = \frac{7}{6} \cdot 24$

Step 2.1.1.3

Cancel the common factor of $6$ .

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Step 2.1.1.3.1

Factor $6$ out of $6 x$ .

$\frac{1}{6} (6 (x)) = \frac{7}{6} \cdot 24$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{6} (6 x) = \frac{7}{6} \cdot 24$

Step 2.1.1.3.3

Rewrite the expression.

$x = \frac{7}{6} \cdot 24$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{7}{6} \cdot 24$ .

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Step 2.2.1.1

Cancel the common factor of $6$ .

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Step 2.2.1.1.1

Factor $6$ out of $24$ .

$x = \frac{7}{6} \cdot (6 (4))$

Step 2.2.1.1.2

Cancel the common factor.

$x = \frac{7}{6} \cdot (6 \cdot 4)$

Step 2.2.1.1.3

Rewrite the expression.

$x = 7 \cdot 4$

Step 2.2.1.2

Multiply $7$ by $4$ .

$x = 28$