Basic Math Examples

$\frac{1}{2} + \frac{1}{10}$

Step 1

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

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

Step 2

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

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Step 2.1

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

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

Step 2.2

Multiply $2$ by $5$ .

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

Step 3

Simplify the expression.

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Step 3.1

Combine the numerators over the common denominator.

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

Step 3.2

Add $5$ and $1$ .

$\frac{6}{10}$

Step 4

Cancel the common factor of $6$ and $10$ .

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Step 4.1

Factor $2$ out of $6$ .

$\frac{2 (3)}{10}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $10$ .

$\frac{2 \cdot 3}{2 \cdot 5}$

Step 4.2.2

Cancel the common factor.

$\frac{2 \cdot 3}{2 \cdot 5}$

Step 4.2.3

Rewrite the expression.

$\frac{3}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{5}$

Decimal Form:

$0.6$