Write the Fraction in Simplest Form (3/8)÷1 1/4

$\frac{3}{8} \div 1 \frac{1}{4}$

Step 1

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

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

$\frac{3}{8} \div (1 + \frac{1}{4})$

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

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

$\frac{3}{8} \div (\frac{4}{4} + \frac{1}{4})$

Combine the numerators over the common denominator.

$\frac{3}{8} \div \frac{4 + 1}{4}$

Add $4$ and $1$ .

$\frac{3}{8} \div \frac{5}{4}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{8} \cdot \frac{4}{5}$

Step 3

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$\frac{3}{4 (2)} \cdot \frac{4}{5}$

Cancel the common factor.

$\frac{3}{4 \cdot 2} \cdot \frac{4}{5}$

Rewrite the expression.

$\frac{3}{2} \cdot \frac{1}{5}$

Step 4

Multiply $\frac{3}{2}$ by $\frac{1}{5}$ .

$\frac{3}{2 \cdot 5}$

Step 5

Multiply $2$ by $5$ .

$\frac{3}{10}$