Basic Math Examples

4 \frac{1}{16} - \frac{4}{5}

$4 \frac{1}{16} - \frac{4}{5}$

Step 1

Convert

4 \frac{1}{16}

$4 \frac{1}{16}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

4 + \frac{1}{16} - \frac{4}{5}

$4 + \frac{1}{16} - \frac{4}{5}$

Step 1.2

Add

4

$4$ and

\frac{1}{16}

$\frac{1}{16}$ .

Tap for more steps...

Step 1.2.1

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{16}{16}

$\frac{16}{16}$ .

4 \cdot \frac{16}{16} + \frac{1}{16} - \frac{4}{5}

$4 \cdot \frac{16}{16} + \frac{1}{16} - \frac{4}{5}$

Step 1.2.2

Combine

4

$4$ and

\frac{16}{16}

$\frac{16}{16}$ .

\frac{4 \cdot 16}{16} + \frac{1}{16} - \frac{4}{5}

$\frac{4 \cdot 16}{16} + \frac{1}{16} - \frac{4}{5}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{4 \cdot 16 + 1}{16} - \frac{4}{5}

$\frac{4 \cdot 16 + 1}{16} - \frac{4}{5}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

4

$4$ by

16

$16$ .

\frac{64 + 1}{16} - \frac{4}{5}

$\frac{64 + 1}{16} - \frac{4}{5}$

Step 1.2.4.2

Add

64

$64$ and

1

$1$ .

\frac{65}{16} - \frac{4}{5}

$\frac{65}{16} - \frac{4}{5}$

\frac{65}{16} - \frac{4}{5}

$\frac{65}{16} - \frac{4}{5}$

\frac{65}{16} - \frac{4}{5}

$\frac{65}{16} - \frac{4}{5}$

\frac{65}{16} - \frac{4}{5}

$\frac{65}{16} - \frac{4}{5}$

Step 2

To write

\frac{65}{16}

$\frac{65}{16}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{65}{16} \cdot \frac{5}{5} - \frac{4}{5}

$\frac{65}{16} \cdot \frac{5}{5} - \frac{4}{5}$

Step 3

To write

- \frac{4}{5}

$- \frac{4}{5}$ as a fraction with a common denominator, multiply by

\frac{16}{16}

$\frac{16}{16}$ .

\frac{65}{16} \cdot \frac{5}{5} - \frac{4}{5} \cdot \frac{16}{16}

$\frac{65}{16} \cdot \frac{5}{5} - \frac{4}{5} \cdot \frac{16}{16}$

Step 4

Write each expression with a common denominator of

80

$80$ , by multiplying each by an appropriate factor of

1

$1$ .

Tap for more steps...

Step 4.1

Multiply

\frac{65}{16}

$\frac{65}{16}$ by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{65 \cdot 5}{16 \cdot 5} - \frac{4}{5} \cdot \frac{16}{16}

$\frac{65 \cdot 5}{16 \cdot 5} - \frac{4}{5} \cdot \frac{16}{16}$

Step 4.2

Multiply

16

$16$ by

5

$5$ .

\frac{65 \cdot 5}{80} - \frac{4}{5} \cdot \frac{16}{16}

$\frac{65 \cdot 5}{80} - \frac{4}{5} \cdot \frac{16}{16}$

Step 4.3

Multiply

\frac{4}{5}

$\frac{4}{5}$ by

\frac{16}{16}

$\frac{16}{16}$ .

\frac{65 \cdot 5}{80} - \frac{4 \cdot 16}{5 \cdot 16}

$\frac{65 \cdot 5}{80} - \frac{4 \cdot 16}{5 \cdot 16}$

Step 4.4

Multiply

5

$5$ by

16

$16$ .

\frac{65 \cdot 5}{80} - \frac{4 \cdot 16}{80}

$\frac{65 \cdot 5}{80} - \frac{4 \cdot 16}{80}$

\frac{65 \cdot 5}{80} - \frac{4 \cdot 16}{80}

$\frac{65 \cdot 5}{80} - \frac{4 \cdot 16}{80}$

Step 5

Combine the numerators over the common denominator.

\frac{65 \cdot 5 - 4 \cdot 16}{80}

$\frac{65 \cdot 5 - 4 \cdot 16}{80}$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Multiply

65

$65$ by

5

$5$ .

\frac{325 - 4 \cdot 16}{80}

$\frac{325 - 4 \cdot 16}{80}$

Step 6.2

Multiply

- 4

$- 4$ by

16

$16$ .

\frac{325 - 64}{80}

$\frac{325 - 64}{80}$

Step 6.3

Subtract

64

$64$ from

325

$325$ .

\frac{261}{80}

$\frac{261}{80}$

\frac{261}{80}

$\frac{261}{80}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{261}{80}

$\frac{261}{80}$

Decimal Form:

3.2625

$3.2625$

Mixed Number Form:

3 \frac{21}{80}

$3 \frac{21}{80}$