Algebra Examples

$4 + 8 (\frac{1}{4} + 2)$

Step 1

Simplify each term.

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Step 1.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$4 + 8 (\frac{1}{4} + 2 \cdot \frac{4}{4})$

Step 1.2

Combine $2$ and $\frac{4}{4}$ .

$4 + 8 (\frac{1}{4} + \frac{2 \cdot 4}{4})$

Step 1.3

Combine the numerators over the common denominator.

$4 + 8 \frac{1 + 2 \cdot 4}{4}$

Step 1.4

Simplify the numerator.

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Step 1.4.1

Multiply $2$ by $4$ .

$4 + 8 \frac{1 + 8}{4}$

Step 1.4.2

Add $1$ and $8$ .

$4 + 8 (\frac{9}{4})$

Step 1.5

Cancel the common factor of $4$ .

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Step 1.5.1

Factor $4$ out of $8$ .

$4 + 4 (2) \frac{9}{4}$

Step 1.5.2

Cancel the common factor.

$4 + 4 \cdot 2 \frac{9}{4}$

Step 1.5.3

Rewrite the expression.

$4 + 2 \cdot 9$

Step 1.6

Multiply $2$ by $9$ .

$4 + 18$

Step 2

Add $4$ and $18$ .

$22$