Divide 1 3/4÷(2/3)

$1 \frac{3}{4} \div \frac{2}{3}$

Step 1

Convert $1 \frac{3}{4}$ to an improper fraction.

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

$(1 + \frac{3}{4}) \div \frac{2}{3}$

Add $1$ and $\frac{3}{4}$ .

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

$(\frac{4}{4} + \frac{3}{4}) \div \frac{2}{3}$

Combine the numerators over the common denominator.

$\frac{4 + 3}{4} \div \frac{2}{3}$

Add $4$ and $3$ .

$\frac{7}{4} \div \frac{2}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{4} \cdot \frac{3}{2}$

Step 3

Multiply $\frac{7}{4} \cdot \frac{3}{2}$ .

Multiply $\frac{7}{4}$ by $\frac{3}{2}$ .

$\frac{7 \cdot 3}{4 \cdot 2}$

Multiply $7$ by $3$ .

$\frac{21}{4 \cdot 2}$

Multiply $4$ by $2$ .

$\frac{21}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{8}$

Decimal Form:

$2.625$

Mixed Number Form:

$2 \frac{5}{8}$