Algebra Examples

$w - \frac{3}{2} = \frac{1}{4}$

Step 1

Add $\frac{3}{2}$ to both sides of the equation.

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

Step 2

To write $\frac{3}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

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 $\frac{3}{2}$ by $\frac{2}{2}$ .

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

Step 3.2

Multiply $2$ by $2$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply $3$ by $2$ .

$w = \frac{1 + 6}{4}$

Step 5.2

Add $1$ and $6$ .

$w = \frac{7}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$w = \frac{7}{4}$

Decimal Form:

$w = 1.75$

Mixed Number Form:

$w = 1 \frac{3}{4}$