Divide 1 7/9÷(4/5)

$1 \frac{7}{9} \div \frac{4}{5}$

Step 1

Convert $1 \frac{7}{9}$ to an improper fraction.

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

$(1 + \frac{7}{9}) \div \frac{4}{5}$

Add $1$ and $\frac{7}{9}$ .

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

$(\frac{9}{9} + \frac{7}{9}) \div \frac{4}{5}$

Combine the numerators over the common denominator.

$\frac{9 + 7}{9} \div \frac{4}{5}$

Add $9$ and $7$ .

$\frac{16}{9} \div \frac{4}{5}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{16}{9} \cdot \frac{5}{4}$

Step 3

Cancel the common factor of $4$ .

Factor $4$ out of $16$ .

$\frac{4 (4)}{9} \cdot \frac{5}{4}$

Cancel the common factor.

$\frac{4 \cdot 4}{9} \cdot \frac{5}{4}$

Rewrite the expression.

$\frac{4}{9} \cdot 5$

Step 4

Combine $\frac{4}{9}$ and $5$ .

$\frac{4 \cdot 5}{9}$

Step 5

Multiply $4$ by $5$ .

$\frac{20}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{20}{9}$

Decimal Form:

$2.\overline{2}$

Mixed Number Form:

$2 \frac{2}{9}$