Question

divide.
$5\frac{2}{3} \div 2\frac{5}{6}$
?
answer as a whole number.

Explanation:

Step1: Convert mixed numbers to improper fractions

To convert \(5\frac{2}{3}\) to an improper fraction, multiply the whole number (5) by the denominator (3) and add the numerator (2): \(5\times3 + 2 = 17\), so \(5\frac{2}{3}=\frac{17}{3}\).

To convert \(2\frac{5}{6}\) to an improper fraction, multiply the whole number (2) by the denominator (6) and add the numerator (5): \(2\times6 + 5 = 17\), so \(2\frac{5}{6}=\frac{17}{6}\).

Step2: Divide the improper fractions

Dividing by a fraction is the same as multiplying by its reciprocal. So, \(\frac{17}{3}\div\frac{17}{6}=\frac{17}{3}\times\frac{6}{17}\).

Step3: Simplify the multiplication

The 17s cancel out, and we have \(\frac{6}{3}\).

Step4: Simplify the result

\(\frac{6}{3} = 2\).

Answer:

2