Basic Math Examples

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

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

Step 1

To write

\frac{1}{9}

$\frac{1}{9}$ as a fraction with a common denominator, multiply by

\frac{10}{10}

$\frac{10}{10}$ .

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

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

Step 2

To write

- \frac{1}{10}

$- \frac{1}{10}$ as a fraction with a common denominator, multiply by

\frac{9}{9}

$\frac{9}{9}$ .

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

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

Step 3

Write each expression with a common denominator of

90

$90$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{1}{9}

$\frac{1}{9}$ by

\frac{10}{10}

$\frac{10}{10}$ .

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

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

Step 3.2

Multiply

9

$9$ by

10

$10$ .

\frac{10}{90} - \frac{1}{10} \cdot \frac{9}{9}

$\frac{10}{90} - \frac{1}{10} \cdot \frac{9}{9}$

Step 3.3

Multiply

\frac{1}{10}

$\frac{1}{10}$ by

\frac{9}{9}

$\frac{9}{9}$ .

\frac{10}{90} - \frac{9}{10 \cdot 9}

$\frac{10}{90} - \frac{9}{10 \cdot 9}$

Step 3.4

Multiply

10

$10$ by

9

$9$ .

\frac{10}{90} - \frac{9}{90}

$\frac{10}{90} - \frac{9}{90}$

\frac{10}{90} - \frac{9}{90}

$\frac{10}{90} - \frac{9}{90}$

Step 4

Combine the numerators over the common denominator.

\frac{10 - 9}{90}

$\frac{10 - 9}{90}$

Step 5

Subtract

9

$9$ from

10

$10$ .

\frac{1}{90}

$\frac{1}{90}$