Question

divide. 3\frac{2}{7}\div1\frac{1}{7}=

Explanation:

Step1: Convert mixed numbers to improper fractions

$3\frac{2}{7}=\frac{3\times7 + 2}{7}=\frac{23}{7}$, $1\frac{1}{7}=\frac{1\times7+1}{7}=\frac{8}{7}$

Step2: Change division to multiplication

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{23}{7}\div\frac{8}{7}=\frac{23}{7}\times\frac{7}{8}$

Step3: Simplify the product

$\frac{23}{7}\times\frac{7}{8}=\frac{23\times7}{7\times8}=\frac{23}{8}$

Step4: Convert back to mixed number

$\frac{23}{8}=2\frac{7}{8}$

Answer:

$2\frac{7}{8}$