Basic Math Examples

19 - 5 \frac{5}{32}

$19 - 5 \frac{5}{32}$

Step 1

Convert

5 \frac{5}{32}

$5 \frac{5}{32}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

19 - (5 + \frac{5}{32})

$19 - (5 + \frac{5}{32})$

Step 1.2

Add

5

$5$ and

\frac{5}{32}

$\frac{5}{32}$ .

Tap for more steps...

Step 1.2.1

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{32}{32}

$\frac{32}{32}$ .

19 - (5 \cdot \frac{32}{32} + \frac{5}{32})

$19 - (5 \cdot \frac{32}{32} + \frac{5}{32})$

Step 1.2.2

Combine

5

$5$ and

\frac{32}{32}

$\frac{32}{32}$ .

19 - (\frac{5 \cdot 32}{32} + \frac{5}{32})

$19 - (\frac{5 \cdot 32}{32} + \frac{5}{32})$

Step 1.2.3

Combine the numerators over the common denominator.

19 - \frac{5 \cdot 32 + 5}{32}

$19 - \frac{5 \cdot 32 + 5}{32}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

5

$5$ by

32

$32$ .

19 - \frac{160 + 5}{32}

$19 - \frac{160 + 5}{32}$

Step 1.2.4.2

Add

160

$160$ and

5

$5$ .

19 - \frac{165}{32}

$19 - \frac{165}{32}$

19 - \frac{165}{32}

$19 - \frac{165}{32}$

19 - \frac{165}{32}

$19 - \frac{165}{32}$

19 - \frac{165}{32}

$19 - \frac{165}{32}$

Step 2

To write

19

$19$ as a fraction with a common denominator, multiply by

\frac{32}{32}

$\frac{32}{32}$ .

19 \cdot \frac{32}{32} - \frac{165}{32}

$19 \cdot \frac{32}{32} - \frac{165}{32}$

Step 3

Combine

19

$19$ and

\frac{32}{32}

$\frac{32}{32}$ .

\frac{19 \cdot 32}{32} - \frac{165}{32}

$\frac{19 \cdot 32}{32} - \frac{165}{32}$

Step 4

Combine the numerators over the common denominator.

\frac{19 \cdot 32 - 165}{32}

$\frac{19 \cdot 32 - 165}{32}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply

19

$19$ by

32

$32$ .

\frac{608 - 165}{32}

$\frac{608 - 165}{32}$

Step 5.2

Subtract

165

$165$ from

608

$608$ .

\frac{443}{32}

$\frac{443}{32}$

\frac{443}{32}

$\frac{443}{32}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{443}{32}

$\frac{443}{32}$

Decimal Form:

13.84375

$13.84375$

Mixed Number Form:

13 \frac{27}{32}

$13 \frac{27}{32}$