Basic Math Examples

$\frac{11}{4} = v + \frac{1}{2}$

Step 1

Rewrite the equation as $v + \frac{1}{2} = \frac{11}{4}$ .

$v + \frac{1}{2} = \frac{11}{4}$

Step 2

Move all terms not containing $v$ to the right side of the equation.

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Step 2.1

Subtract $\frac{1}{2}$ from both sides of the equation.

$v = \frac{11}{4} - \frac{1}{2}$

Step 2.2

To write $- \frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$v = \frac{11}{4} - \frac{1}{2} \cdot \frac{2}{2}$

Step 2.3

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.3.1

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

$v = \frac{11}{4} - \frac{2}{2 \cdot 2}$

Step 2.3.2

Multiply $2$ by $2$ .

$v = \frac{11}{4} - \frac{2}{4}$

Step 2.4

Combine the numerators over the common denominator.

$v = \frac{11 - 2}{4}$

Step 2.5

Subtract $2$ from $11$ .

$v = \frac{9}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$v = \frac{9}{4}$

Decimal Form:

$v = 2.25$

Mixed Number Form:

$v = 2 \frac{1}{4}$