Algebra Examples

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

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

Step 1

To write

- \frac{1}{2}

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

\frac{5}{5}

$\frac{5}{5}$ .

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

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

Step 2

Write each expression with a common denominator of

10

$10$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{1}{2}

$\frac{1}{2}$ by

\frac{5}{5}

$\frac{5}{5}$ .

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

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

Step 2.2

Multiply

2

$2$ by

5

$5$ .

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

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

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

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

Step 3

Combine the numerators over the common denominator.

\frac{9 - 5}{10}

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

Step 4

Subtract

5

$5$ from

9

$9$ .

\frac{4}{10}

$\frac{4}{10}$

Step 5

Cancel the common factor of

4

$4$ and

10

$10$ .

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Step 5.1

Factor

2

$2$ out of

4

$4$ .

\frac{2 (2)}{10}

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

2

$2$ out of

10

$10$ .

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

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

Step 5.2.2

Cancel the common factor.

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

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

Step 5.2.3

Rewrite the expression.

\frac{2}{5}

$\frac{2}{5}$

\frac{2}{5}

$\frac{2}{5}$

\frac{2}{5}

$\frac{2}{5}$

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

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

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