Simplify 1 3/5÷1 4/9

$1 \frac{3}{5} \div 1 \frac{4}{9}$

Step 1

Convert $1 \frac{3}{5}$ to an improper fraction.

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

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

Add $1$ and $\frac{3}{5}$ .

Write $1$ as a fraction with a common denominator.

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

Combine the numerators over the common denominator.

$\frac{5 + 3}{5} \div 1 \frac{4}{9}$

Add $5$ and $3$ .

$\frac{8}{5} \div 1 \frac{4}{9}$

Step 2

Convert $1 \frac{4}{9}$ to an improper fraction.

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

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

Add $1$ and $\frac{4}{9}$ .

Write $1$ as a fraction with a common denominator.

$\frac{8}{5} \div (\frac{9}{9} + \frac{4}{9})$

Combine the numerators over the common denominator.

$\frac{8}{5} \div \frac{9 + 4}{9}$

Add $9$ and $4$ .

$\frac{8}{5} \div \frac{13}{9}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{8}{5} \cdot \frac{9}{13}$

Step 4

Multiply $\frac{8}{5} \cdot \frac{9}{13}$ .

Multiply $\frac{8}{5}$ by $\frac{9}{13}$ .

$\frac{8 \cdot 9}{5 \cdot 13}$

Multiply $8$ by $9$ .

$\frac{72}{5 \cdot 13}$

Multiply $5$ by $13$ .

$\frac{72}{65}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{72}{65}$

Decimal Form:

$1.10769230 \dots$

Mixed Number Form:

$1 \frac{7}{65}$