Divide 1 1/4÷(1/2)

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

Step 1

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Add $4$ and $1$ .

$\frac{5}{4} \div \frac{1}{2}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{4} \cdot 2$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{5}{2 (2)} \cdot 2$

Cancel the common factor.

$\frac{5}{2 \cdot 2} \cdot 2$

Rewrite the expression.

$\frac{5}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{2}$

Decimal Form:

$2.5$

Mixed Number Form:

$2 \frac{1}{2}$