Question

find the quotient.
$3\frac{7}{8} \div 17$
$3\frac{7}{8} \div 17 = \square$
(type a whole number, fraction, or mixed number.

Explanation:

Step1: Convert mixed number to improper fraction

To convert \( 3\frac{7}{8} \) to an improper fraction, we use the formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). So, \( 3\frac{7}{8}=\frac{3\times8 + 7}{8}=\frac{24 + 7}{8}=\frac{31}{8} \).

Step2: Divide by multiplying by reciprocal

Dividing by a number is the same as multiplying by its reciprocal. So, \( \frac{31}{8}\div17=\frac{31}{8}\times\frac{1}{17} \).

Step3: Multiply the fractions

Multiply the numerators and denominators: \( \frac{31\times1}{8\times17}=\frac{31}{136} \).

Answer:

\( \frac{31}{136} \)