Pre-Algebra Examples

$\frac{3}{4} = 5 x$

Step 1

Rewrite the equation as $5 x = \frac{3}{4}$ .

$5 x = \frac{3}{4}$

Step 2

Divide each term in $5 x = \frac{3}{4}$ by $5$ and simplify.

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Step 2.1

Divide each term in $5 x = \frac{3}{4}$ by $5$ .

$\frac{5 x}{5} = \frac{\frac{3}{4}}{5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{\frac{3}{4}}{5}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{\frac{3}{4}}{5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{3}{4} \cdot \frac{1}{5}$

Step 2.3.2

Multiply $\frac{3}{4} \cdot \frac{1}{5}$ .

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Step 2.3.2.1

Multiply $\frac{3}{4}$ by $\frac{1}{5}$ .

$x = \frac{3}{4 \cdot 5}$

Step 2.3.2.2

Multiply $4$ by $5$ .

$x = \frac{3}{20}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3}{20}$

Decimal Form:

$x = 0.15$