Algebra Examples

$\frac{9}{10} - \frac{1}{2}$

Step 1

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

$\frac{9}{10} - \frac{1}{2} \cdot \frac{5}{5}$

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 $\frac{5}{5}$ .

$\frac{9}{10} - \frac{5}{2 \cdot 5}$

Step 2.2

Multiply $2$ by $5$ .

$\frac{9}{10} - \frac{5}{10}$

Step 3

Combine the numerators over the common denominator.

$\frac{9 - 5}{10}$

Step 4

Subtract $5$ from $9$ .

$\frac{4}{10}$

Step 5

Cancel the common factor of $4$ and $10$ .

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Step 5.1

Factor $2$ out of $4$ .

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $10$ .

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

$\frac{2}{5}$