Basic Math Examples

$108 \div 3 \frac{3}{4}$

Step 1

Convert

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

Tap for more steps...

Step 1.1

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

$108 \div (3 + \frac{3}{4})$

Step 1.2

Add

$3$ and

$\frac{3}{4}$ .

Tap for more steps...

Step 1.2.1

To write

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

$\frac{4}{4}$ .

$108 \div (3 \cdot \frac{4}{4} + \frac{3}{4})$

Step 1.2.2

Combine

$3$ and

$\frac{4}{4}$ .

$108 \div (\frac{3 \cdot 4}{4} + \frac{3}{4})$

Step 1.2.3

Combine the numerators over the common denominator.

$108 \div \frac{3 \cdot 4 + 3}{4}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

$3$ by

$4$ .

$108 \div \frac{12 + 3}{4}$

Step 1.2.4.2

Add

$12$ and

$3$ .

$108 \div \frac{15}{4}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$108 (\frac{4}{15})$

Step 3

Cancel the common factor of

$3$ .

Tap for more steps...

Step 3.1

Factor

$3$ out of

$108$ .

$3 (36) \frac{4}{15}$

Step 3.2

Factor

$3$ out of

$15$ .

$3 \cdot 36 \frac{4}{3 \cdot 5}$

Step 3.3

Cancel the common factor.

$3 \cdot 36 \frac{4}{3 \cdot 5}$

Step 3.4

Rewrite the expression.

$36 (\frac{4}{5})$

Step 4

Combine

$36$ and

$\frac{4}{5}$ .

$\frac{36 \cdot 4}{5}$

Step 5

Multiply

$36$ by

$4$ .

$\frac{144}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{144}{5}$

Decimal Form:

$28.8$

Mixed Number Form:

$28 \frac{4}{5}$