Pre-Algebra Examples

$\frac{5}{6} x = 35$

Step 1

Multiply both sides of the equation by $\frac{6}{5}$ .

$\frac{6}{5} (\frac{5}{6} x) = \frac{6}{5} \cdot 35$

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 $\frac{6}{5} (\frac{5}{6} x)$ .

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Step 2.1.1.1

Combine $\frac{5}{6}$ and $x$ .

$\frac{6}{5} \cdot \frac{5 x}{6} = \frac{6}{5} \cdot 35$

Step 2.1.1.2

Cancel the common factor of $6$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{6}{5} \cdot \frac{5 x}{6} = \frac{6}{5} \cdot 35$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{5} (5 x) = \frac{6}{5} \cdot 35$

Step 2.1.1.3

Cancel the common factor of $5$ .

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Step 2.1.1.3.1

Factor $5$ out of $5 x$ .

$\frac{1}{5} (5 (x)) = \frac{6}{5} \cdot 35$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{5} (5 x) = \frac{6}{5} \cdot 35$

Step 2.1.1.3.3

Rewrite the expression.

$x = \frac{6}{5} \cdot 35$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{6}{5} \cdot 35$ .

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Step 2.2.1.1

Cancel the common factor of $5$ .

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Step 2.2.1.1.1

Factor $5$ out of $35$ .

$x = \frac{6}{5} \cdot (5 (7))$

Step 2.2.1.1.2

Cancel the common factor.

$x = \frac{6}{5} \cdot (5 \cdot 7)$

Step 2.2.1.1.3

Rewrite the expression.

$x = 6 \cdot 7$

Step 2.2.1.2

Multiply $6$ by $7$ .

$x = 42$