Precalculus Examples

$x = \frac{1}{10} \cdot (\frac{3 (10) - 7}{2 (10) + 9})$

Step 1

Multiply $\frac{1}{10}$ by $\frac{3 (10) - 7}{2 (10) + 9}$ .

$x = \frac{1}{10} \cdot \frac{3 (10) - 7}{2 (10) + 9}$

Step 2

Simplify $\frac{1}{10} \cdot \frac{3 (10) - 7}{2 (10) + 9}$ .

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Multiply $3$ by $10$ .

$x = \frac{1}{10} \cdot \frac{30 - 7}{2 (10) + 9}$

Step 2.1.2

Subtract $7$ from $30$ .

$x = \frac{1}{10} \cdot \frac{23}{2 (10) + 9}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Multiply $2$ by $10$ .

$x = \frac{1}{10} \cdot \frac{23}{20 + 9}$

Step 2.2.2

Add $20$ and $9$ .

$x = \frac{1}{10} \cdot \frac{23}{29}$

Step 2.3

Multiply $\frac{1}{10} \cdot \frac{23}{29}$ .

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Step 2.3.1

Multiply $\frac{1}{10}$ by $\frac{23}{29}$ .

$x = \frac{23}{10 \cdot 29}$

Step 2.3.2

Multiply $10$ by $29$ .

$x = \frac{23}{290}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{23}{290}$

Decimal Form:

$x = 0.07931034 \dots$