Basic Math Examples

$\frac{2}{5} = \frac{2}{10} + k$

Step 1

Rewrite the equation as $\frac{2}{10} + k = \frac{2}{5}$ .

$\frac{2}{10} + k = \frac{2}{5}$

Step 2

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

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Step 2.1

Factor $2$ out of $2$ .

$\frac{2 (1)}{10} + k = \frac{2}{5}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $10$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

Step 3

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

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Step 3.1

Subtract $\frac{1}{5}$ from both sides of the equation.

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

Step 3.2

Combine the numerators over the common denominator.

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

Step 3.3

Subtract $1$ from $2$ .

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$k = 0.2$