Basic Math Examples

$\frac{5}{10} - \frac{1}{5}$

Step 1

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

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Step 1.1

Factor $5$ out of $5$ .

$\frac{5 (1)}{10} - \frac{1}{5}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $10$ .

$\frac{5 \cdot 1}{5 \cdot 2} - \frac{1}{5}$

Step 1.2.2

Cancel the common factor.

$\frac{5 \cdot 1}{5 \cdot 2} - \frac{1}{5}$

Step 1.2.3

Rewrite the expression.

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

Step 2

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{1}{2} \cdot \frac{5}{5} - \frac{1}{5}$

Step 3

To write $- \frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{2} \cdot \frac{5}{5} - \frac{1}{5} \cdot \frac{2}{2}$

Step 4

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{1}{2}$ by $\frac{5}{5}$ .

$\frac{5}{2 \cdot 5} - \frac{1}{5} \cdot \frac{2}{2}$

Step 4.2

Multiply $2$ by $5$ .

$\frac{5}{10} - \frac{1}{5} \cdot \frac{2}{2}$

Step 4.3

Multiply $\frac{1}{5}$ by $\frac{2}{2}$ .

$\frac{5}{10} - \frac{2}{5 \cdot 2}$

Step 4.4

Multiply $5$ by $2$ .

$\frac{5}{10} - \frac{2}{10}$

Step 5

Combine the numerators over the common denominator.

$\frac{5 - 2}{10}$

Step 6

Subtract $2$ from $5$ .

$\frac{3}{10}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{10}$

Decimal Form:

$0.3$