Question

current skill $
divide:
$3\frac{3}{4} \div 3\frac{1}{2}$
provide an answer as a simplified proper fraction or mixed number.

Explanation:

Step1: Convert mixed numbers to improper fractions

$3\frac{3}{4} = \frac{3\times4 + 3}{4} = \frac{15}{4}$, $3\frac{1}{2} = \frac{3\times2 + 1}{2} = \frac{7}{2}$

Step2: Rewrite division as multiplication by reciprocal

$\frac{15}{4} \div \frac{7}{2} = \frac{15}{4} \times \frac{2}{7}$

Step3: Simplify and multiply fractions

$\frac{15\times2}{4\times7} = \frac{15}{2\times7} = \frac{15}{14}$

Step4: Convert to mixed number (optional, but valid)

$\frac{15}{14} = 1\frac{1}{14}$

Answer:

$\frac{15}{14}$ or $1\frac{1}{14}$