Basic Math Examples

$12 \div 3 \frac{3}{4}$

Step 1

Convert

$3 \frac{3}{4}$ to an improper fraction.

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Step 1.1

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

$12 \div (3 + \frac{3}{4})$

Step 1.2

Add

$3$ and

$\frac{3}{4}$ .

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Step 1.2.1

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$12 \div (3 \cdot \frac{4}{4} + \frac{3}{4})$

Step 1.2.2

Combine

$3$ and

$\frac{4}{4}$ .

$12 \div (\frac{3 \cdot 4}{4} + \frac{3}{4})$

Step 1.2.3

Combine the numerators over the common denominator.

$12 \div \frac{3 \cdot 4 + 3}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$3$ by

$4$ .

$12 \div \frac{12 + 3}{4}$

Step 1.2.4.2

Add

$12$ and

$3$ .

$12 \div \frac{15}{4}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$12 (\frac{4}{15})$

Step 3

Cancel the common factor of

$3$ .

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Step 3.1

Factor

$3$ out of

$12$ .

$3 (4) \frac{4}{15}$

Step 3.2

Factor

$3$ out of

$15$ .

$3 \cdot 4 \frac{4}{3 \cdot 5}$

Step 3.3

Cancel the common factor.

$3 \cdot 4 \frac{4}{3 \cdot 5}$

Step 3.4

Rewrite the expression.

$4 (\frac{4}{5})$

Step 4

Combine

$4$ and

$\frac{4}{5}$ .

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

Step 5

Multiply

$4$ by

$4$ .

$\frac{16}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{5}$

Decimal Form:

$3.2$

Mixed Number Form:

$3 \frac{1}{5}$