Pre-Algebra Examples

$\frac{9}{150} = \frac{x}{\frac{1}{8}}$

Step 1

Cancel the common factor of $9$ and $150$ .

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Step 1.1

Factor $3$ out of $9$ .

$\frac{3 (3)}{150} = \frac{x}{\frac{1}{8}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $150$ .

$\frac{3 \cdot 3}{3 \cdot 50} = \frac{x}{\frac{1}{8}}$

Step 1.2.2

Cancel the common factor.

$\frac{3 \cdot 3}{3 \cdot 50} = \frac{x}{\frac{1}{8}}$

Step 1.2.3

Rewrite the expression.

$\frac{3}{50} = \frac{x}{\frac{1}{8}}$

Step 2

Simplify $\frac{x}{\frac{1}{8}}$ .

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Step 2.1

Multiply the numerator by the reciprocal of the denominator.

$\frac{3}{50} = x \cdot 8$

Step 2.2

Move $8$ to the left of $x$ .

$\frac{3}{50} = 8 x$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 0.00749999$

Step 4