Algebra Examples

$\frac{3}{4} + 5 - \frac{1}{2}$

Step 1

Find the common denominator.

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Step 1.1

Write $5$ as a fraction with denominator $1$ .

$\frac{3}{4} + \frac{5}{1} - \frac{1}{2}$

Step 1.2

Multiply $\frac{5}{1}$ by $\frac{4}{4}$ .

$\frac{3}{4} + \frac{5}{1} \cdot \frac{4}{4} - \frac{1}{2}$

Step 1.3

Multiply $\frac{5}{1}$ by $\frac{4}{4}$ .

$\frac{3}{4} + \frac{5 \cdot 4}{4} - \frac{1}{2}$

Step 1.4

Multiply $\frac{1}{2}$ by $\frac{2}{2}$ .

$\frac{3}{4} + \frac{5 \cdot 4}{4} - (\frac{1}{2} \cdot \frac{2}{2})$

Step 1.5

Multiply $\frac{1}{2}$ by $\frac{2}{2}$ .

$\frac{3}{4} + \frac{5 \cdot 4}{4} - \frac{2}{2 \cdot 2}$

Step 1.6

Multiply $2$ by $2$ .

$\frac{3}{4} + \frac{5 \cdot 4}{4} - \frac{2}{4}$

Step 2

Combine the numerators over the common denominator.

$\frac{3 + 5 \cdot 4 - 2}{4}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $5$ by $4$ .

$\frac{3 + 20 - 2}{4}$

Step 3.2

Add $3$ and $20$ .

$\frac{23 - 2}{4}$

Step 3.3

Subtract $2$ from $23$ .

$\frac{21}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{4}$

Decimal Form:

$5.25$

Mixed Number Form:

$5 \frac{1}{4}$