Pre-Algebra Examples

$- \frac{3}{4} + p = \frac{1}{2}$

Step 1

Add $\frac{3}{4}$ to both sides of the equation.

$p = \frac{1}{2} + \frac{3}{4}$

Step 2

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

$p = \frac{1}{2} \cdot \frac{2}{2} + \frac{3}{4}$

Step 3

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

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Step 3.1

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

$p = \frac{2}{2 \cdot 2} + \frac{3}{4}$

Step 3.2

Multiply $2$ by $2$ .

$p = \frac{2}{4} + \frac{3}{4}$

Step 4

Combine the numerators over the common denominator.

$p = \frac{2 + 3}{4}$

Step 5

Add $2$ and $3$ .

$p = \frac{5}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$p = \frac{5}{4}$

Decimal Form:

$p = 1.25$

Mixed Number Form:

$p = 1 \frac{1}{4}$