Pre-Algebra Examples

$\frac{1}{10} + x = \frac{3}{10}$

Step 1

Subtract $\frac{1}{10}$ from both sides of the equation.

$x = \frac{3}{10} - \frac{1}{10}$

Step 2

Combine the numerators over the common denominator.

$x = \frac{3 - 1}{10}$

Step 3

Subtract $1$ from $3$ .

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

Step 4

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

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Step 4.1

Factor $2$ out of $2$ .

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $10$ .

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 0.2$