Basic Math Examples

1500 - 9 \frac{9}{10}

$1500 - 9 \frac{9}{10}$

Step 1

Convert

9 \frac{9}{10}

$9 \frac{9}{10}$ to an improper fraction.

Tap for more steps...

Step 1.1

A mixed number is an addition of its whole and fractional parts.

1500 - (9 + \frac{9}{10})

$1500 - (9 + \frac{9}{10})$

Step 1.2

Add

9

$9$ and

\frac{9}{10}

$\frac{9}{10}$ .

Tap for more steps...

Step 1.2.1

To write

9

$9$ as a fraction with a common denominator, multiply by

\frac{10}{10}

$\frac{10}{10}$ .

1500 - (9 \cdot \frac{10}{10} + \frac{9}{10})

$1500 - (9 \cdot \frac{10}{10} + \frac{9}{10})$

Step 1.2.2

Combine

9

$9$ and

\frac{10}{10}

$\frac{10}{10}$ .

1500 - (\frac{9 \cdot 10}{10} + \frac{9}{10})

$1500 - (\frac{9 \cdot 10}{10} + \frac{9}{10})$

Step 1.2.3

Combine the numerators over the common denominator.

1500 - \frac{9 \cdot 10 + 9}{10}

$1500 - \frac{9 \cdot 10 + 9}{10}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

9

$9$ by

10

$10$ .

1500 - \frac{90 + 9}{10}

$1500 - \frac{90 + 9}{10}$

Step 1.2.4.2

Add

90

$90$ and

9

$9$ .

1500 - \frac{99}{10}

$1500 - \frac{99}{10}$

1500 - \frac{99}{10}

$1500 - \frac{99}{10}$

1500 - \frac{99}{10}

$1500 - \frac{99}{10}$

1500 - \frac{99}{10}

$1500 - \frac{99}{10}$

Step 2

To write

1500

$1500$ as a fraction with a common denominator, multiply by

\frac{10}{10}

$\frac{10}{10}$ .

1500 \cdot \frac{10}{10} - \frac{99}{10}

$1500 \cdot \frac{10}{10} - \frac{99}{10}$

Step 3

Combine

1500

$1500$ and

\frac{10}{10}

$\frac{10}{10}$ .

\frac{1500 \cdot 10}{10} - \frac{99}{10}

$\frac{1500 \cdot 10}{10} - \frac{99}{10}$

Step 4

Combine the numerators over the common denominator.

\frac{1500 \cdot 10 - 99}{10}

$\frac{1500 \cdot 10 - 99}{10}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply

1500

$1500$ by

10

$10$ .

\frac{15000 - 99}{10}

$\frac{15000 - 99}{10}$

Step 5.2

Subtract

99

$99$ from

15000

$15000$ .

\frac{14901}{10}

$\frac{14901}{10}$

\frac{14901}{10}

$\frac{14901}{10}$