Basic Math Examples

$- \frac{2}{15} = s - \frac{4}{9}$

Step 1

Rewrite the equation as $s - \frac{4}{9} = - \frac{2}{15}$ .

$s - \frac{4}{9} = - \frac{2}{15}$

Step 2

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

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Step 2.1

Add $\frac{4}{9}$ to both sides of the equation.

$s = - \frac{2}{15} + \frac{4}{9}$

Step 2.2

To write $- \frac{2}{15}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$s = - \frac{2}{15} \cdot \frac{3}{3} + \frac{4}{9}$

Step 2.3

To write $\frac{4}{9}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$s = - \frac{2}{15} \cdot \frac{3}{3} + \frac{4}{9} \cdot \frac{5}{5}$

Step 2.4

Write each expression with a common denominator of $45$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.4.1

Multiply $\frac{2}{15}$ by $\frac{3}{3}$ .

$s = - \frac{2 \cdot 3}{15 \cdot 3} + \frac{4}{9} \cdot \frac{5}{5}$

Step 2.4.2

Multiply $15$ by $3$ .

$s = - \frac{2 \cdot 3}{45} + \frac{4}{9} \cdot \frac{5}{5}$

Step 2.4.3

Multiply $\frac{4}{9}$ by $\frac{5}{5}$ .

$s = - \frac{2 \cdot 3}{45} + \frac{4 \cdot 5}{9 \cdot 5}$

Step 2.4.4

Multiply $9$ by $5$ .

$s = - \frac{2 \cdot 3}{45} + \frac{4 \cdot 5}{45}$

Step 2.5

Combine the numerators over the common denominator.

$s = \frac{- 2 \cdot 3 + 4 \cdot 5}{45}$

Step 2.6

Simplify the numerator.

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Step 2.6.1

Multiply $- 2$ by $3$ .

$s = \frac{- 6 + 4 \cdot 5}{45}$

Step 2.6.2

Multiply $4$ by $5$ .

$s = \frac{- 6 + 20}{45}$

Step 2.6.3

Add $- 6$ and $20$ .

$s = \frac{14}{45}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$s = \frac{14}{45}$

Decimal Form:

$s = 0.3\overline{1}$