Basic Math Examples

$1 + g = \frac{5}{10}$

Step 1

Cancel the common factor of $5$ and $10$ .

Tap for more steps...

Step 1.1

Factor $5$ out of $5$ .

$1 + g = \frac{5 (1)}{10}$

Step 1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1

Factor $5$ out of $10$ .

$1 + g = \frac{5 \cdot 1}{5 \cdot 2}$

Step 1.2.2

Cancel the common factor.

$1 + g = \frac{5 \cdot 1}{5 \cdot 2}$

Step 1.2.3

Rewrite the expression.

$1 + g = \frac{1}{2}$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $1$ from both sides of the equation.

$g = \frac{1}{2} - 1$

Step 2.2

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

$g = \frac{1}{2} - 1 \cdot \frac{2}{2}$

Step 2.3

Combine $- 1$ and $\frac{2}{2}$ .

$g = \frac{1}{2} + \frac{- 1 \cdot 2}{2}$

Step 2.4

Combine the numerators over the common denominator.

$g = \frac{1 - 1 \cdot 2}{2}$

Step 2.5

Simplify the numerator.

Tap for more steps...

Step 2.5.1

Multiply $- 1$ by $2$ .

$g = \frac{1 - 2}{2}$

Step 2.5.2

Subtract $2$ from $1$ .

$g = \frac{- 1}{2}$

Step 2.6

Move the negative in front of the fraction.

$g = - \frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$g = - \frac{1}{2}$

Decimal Form:

$g = - 0.5$