Divide 1 1/2÷(1/4)

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

Step 1

Convert $1 \frac{1}{2}$ to an improper fraction.

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

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

Add $1$ and $\frac{1}{2}$ .

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

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

Combine the numerators over the common denominator.

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

Add $2$ and $1$ .

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

Step 2

To divide by a fraction, multiply by its reciprocal.

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

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{3}{2} \cdot (2 (2))$

Cancel the common factor.

$\frac{3}{2} \cdot (2 \cdot 2)$

Rewrite the expression.

$3 \cdot 2$

Step 4

Multiply $3$ by $2$ .

$6$