Basic Math Examples

$12 \frac{4}{5} \cdot \frac{1}{4}$

Step 1

Convert

$12 \frac{4}{5}$ to an improper fraction.

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Step 1.1

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

$(12 + \frac{4}{5}) \cdot \frac{1}{4}$

Step 1.2

Add

$12$ and

$\frac{4}{5}$ .

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Step 1.2.1

To write

$12$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$(12 \cdot \frac{5}{5} + \frac{4}{5}) \cdot \frac{1}{4}$

Step 1.2.2

Combine

$12$ and

$\frac{5}{5}$ .

$(\frac{12 \cdot 5}{5} + \frac{4}{5}) \cdot \frac{1}{4}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{12 \cdot 5 + 4}{5} \cdot \frac{1}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$12$ by

$5$ .

$\frac{60 + 4}{5} \cdot \frac{1}{4}$

Step 1.2.4.2

Add

$60$ and

$4$ .

$\frac{64}{5} \cdot \frac{1}{4}$

Step 2

Cancel the common factor of

$4$ .

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Step 2.1

Factor

$4$ out of

$64$ .

$\frac{4 (16)}{5} \cdot \frac{1}{4}$

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$\frac{16}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{5}$

Decimal Form:

$3.2$

Mixed Number Form:

$3 \frac{1}{5}$