Algebra Examples

$(5 + 2 b) + (2 b + \frac{3}{2})$

Step 1

Remove parentheses.

$5 + 2 b + 2 b + \frac{3}{2}$

Step 2

To write $5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$2 b + 2 b + 5 \cdot \frac{2}{2} + \frac{3}{2}$

Step 3

Combine $5$ and $\frac{2}{2}$ .

$2 b + 2 b + \frac{5 \cdot 2}{2} + \frac{3}{2}$

Step 4

Combine the numerators over the common denominator.

$2 b + 2 b + \frac{5 \cdot 2 + 3}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $5$ by $2$ .

$2 b + 2 b + \frac{10 + 3}{2}$

Step 5.2

Add $10$ and $3$ .

$2 b + 2 b + \frac{13}{2}$

Step 6

Add $2 b$ and $2 b$ .

$4 b + \frac{13}{2}$