Basic Math Examples

$\frac{9}{10} = k + \frac{7}{10}$

Step 1

Rewrite the equation as $k + \frac{7}{10} = \frac{9}{10}$ .

$k + \frac{7}{10} = \frac{9}{10}$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $\frac{7}{10}$ from both sides of the equation.

$k = \frac{9}{10} - \frac{7}{10}$

Step 2.2

Combine the numerators over the common denominator.

$k = \frac{9 - 7}{10}$

Step 2.3

Subtract $7$ from $9$ .

$k = \frac{2}{10}$

Step 2.4

Cancel the common factor of $2$ and $10$ .

Tap for more steps...

Step 2.4.1

Factor $2$ out of $2$ .

$k = \frac{2 (1)}{10}$

Step 2.4.2

Cancel the common factors.

Tap for more steps...

Step 2.4.2.1

Factor $2$ out of $10$ .

$k = \frac{2 \cdot 1}{2 \cdot 5}$

Step 2.4.2.2

Cancel the common factor.

$k = \frac{2 \cdot 1}{2 \cdot 5}$

Step 2.4.2.3

Rewrite the expression.

$k = \frac{1}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$k = \frac{1}{5}$

Decimal Form:

$k = 0.2$