Question

2 1/4 ÷ 4 1/5 =, options: 11/26, 15/28, 7/8, 5/8

Explanation:

Step1: Convert mixed numbers to improper fractions

First, convert \(2\frac{1}{4}\) to an improper fraction. \(2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{9}{4}\). Then, convert \(4\frac{1}{5}\) to an improper fraction. \(4\frac{1}{5}=\frac{4\times5+ 1}{5}=\frac{21}{5}\).

Step2: Divide the fractions

Dividing by a fraction is the same as multiplying by its reciprocal. So, \(\frac{9}{4}\div\frac{21}{5}=\frac{9}{4}\times\frac{5}{21}\).

Step3: Simplify the multiplication

Multiply the numerators and denominators: \(\frac{9\times5}{4\times21}=\frac{45}{84}\). Then simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 3. \(\frac{45\div3}{84\div3}=\frac{15}{28}\).

Answer:

\(15/28\)