Question

5
2\frac{1}{4} \div \frac{1}{3}

Explanation:

Step1: Convert mixed number to improper fraction

To convert \(2\frac{1}{4}\) to an improper fraction, we use the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). So, \(2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{8 + 1}{4}=\frac{9}{4}\).

Step2: Divide by multiplying by reciprocal

Dividing by a fraction is the same as multiplying by its reciprocal. So, \(\frac{9}{4}\div\frac{1}{3}=\frac{9}{4}\times3\).

Step3: Multiply the numerators and denominators

\(\frac{9}{4}\times3=\frac{9\times3}{4}=\frac{27}{4}\), which can also be written as \(6\frac{3}{4}\).

Answer:

\(\frac{27}{4}\) (or \(6\frac{3}{4}\))