Algebra Examples

$3 \cdot 8 - 4 \div 2 + \frac{1}{2}$

Step 1

Combine fractions.

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Step 1.1

Combine the numerators over the common denominator.

$3 \cdot 8 + \frac{- 4 + 1}{2}$

Step 1.2

Add $- 4$ and $1$ .

$3 \cdot 8 + \frac{- 3}{2}$

Step 2

Simplify each term.

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Step 2.1

Multiply $3$ by $8$ .

$24 + \frac{- 3}{2}$

Step 2.2

Move the negative in front of the fraction.

$24 - \frac{3}{2}$

Step 3

To write $24$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$24 \cdot \frac{2}{2} - \frac{3}{2}$

Step 4

Combine $24$ and $\frac{2}{2}$ .

$\frac{24 \cdot 2}{2} - \frac{3}{2}$

Step 5

Combine the numerators over the common denominator.

$\frac{24 \cdot 2 - 3}{2}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $24$ by $2$ .

$\frac{48 - 3}{2}$

Step 6.2

Subtract $3$ from $48$ .

$\frac{45}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{45}{2}$

Decimal Form:

$22.5$

Mixed Number Form:

$22 \frac{1}{2}$