Basic Math Examples

$(\frac{5}{3} + \frac{1}{6}) \div \frac{3}{8} \cdot \frac{4}{9}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

To write $\frac{5}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(\frac{5}{3} \cdot \frac{2}{2} + \frac{1}{6}) \div \frac{3}{8} \cdot \frac{4}{9}$

Step 1.2

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 1.2.1

Multiply $\frac{5}{3}$ by $\frac{2}{2}$ .

$(\frac{5 \cdot 2}{3 \cdot 2} + \frac{1}{6}) \div \frac{3}{8} \cdot \frac{4}{9}$

Step 1.2.2

Multiply $3$ by $2$ .

$(\frac{5 \cdot 2}{6} + \frac{1}{6}) \div \frac{3}{8} \cdot \frac{4}{9}$

Step 1.3

Combine the numerators over the common denominator.

$\frac{5 \cdot 2 + 1}{6} \div \frac{3}{8} \cdot \frac{4}{9}$

Step 1.4

Simplify the numerator.

Tap for more steps...

Step 1.4.1

Multiply $5$ by $2$ .

$\frac{10 + 1}{6} \div \frac{3}{8} \cdot \frac{4}{9}$

Step 1.4.2

Add $10$ and $1$ .

$\frac{11}{6} \div \frac{3}{8} \cdot \frac{4}{9}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{11}{6} \cdot \frac{8}{3} \cdot \frac{4}{9}$

Step 3

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.1

Factor $2$ out of $6$ .

$\frac{11}{2 (3)} \cdot \frac{8}{3} \cdot \frac{4}{9}$

Step 3.2

Factor $2$ out of $8$ .

$\frac{11}{2 \cdot 3} \cdot \frac{2 \cdot 4}{3} \cdot \frac{4}{9}$

Step 3.3

Cancel the common factor.

$\frac{11}{2 \cdot 3} \cdot \frac{2 \cdot 4}{3} \cdot \frac{4}{9}$

Step 3.4

Rewrite the expression.

$\frac{11}{3} \cdot \frac{4}{3} \cdot \frac{4}{9}$

Step 4

Multiply $\frac{11}{3}$ by $\frac{4}{3}$ .

$\frac{11 \cdot 4}{3 \cdot 3} \cdot \frac{4}{9}$

Step 5

Multiply.

Tap for more steps...

Step 5.1

Multiply $11$ by $4$ .

$\frac{44}{3 \cdot 3} \cdot \frac{4}{9}$

Step 5.2

Multiply $3$ by $3$ .

$\frac{44}{9} \cdot \frac{4}{9}$

Step 6

Multiply $\frac{44}{9} \cdot \frac{4}{9}$ .

Tap for more steps...

Step 6.1

Multiply $\frac{44}{9}$ by $\frac{4}{9}$ .

$\frac{44 \cdot 4}{9 \cdot 9}$

Step 6.2

Multiply $44$ by $4$ .

$\frac{176}{9 \cdot 9}$

Step 6.3

Multiply $9$ by $9$ .

$\frac{176}{81}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{176}{81}$

Decimal Form:

$2.17283950 \dots$

Mixed Number Form:

$2 \frac{14}{81}$