Write the Fraction in Simplest Form (3/8)÷(1/48)

$\frac{3}{8} \div \frac{1}{48}$

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{8} \cdot 48$

Cancel the common factor of $8$ .

Factor $8$ out of $48$ .

$\frac{3}{8} \cdot (8 (6))$

Cancel the common factor.

$\frac{3}{8} \cdot (8 \cdot 6)$

Rewrite the expression.

$3 \cdot 6$

Multiply $3$ by $6$ .

$18$