Question

1. $\frac{7}{5} div 2\frac{1}{4}$

Explanation:

Step1: Convert mixed number to improper fraction

$2\frac{1}{4} = \frac{2\times4 + 1}{4} = \frac{9}{4}$

Step2: Rewrite division as multiplication by reciprocal

$\frac{7}{5} \div \frac{9}{4} = \frac{7}{5} \times \frac{4}{9}$

Step3: Multiply numerators and denominators

$\frac{7\times4}{5\times9} = \frac{28}{45}$

Answer:

$\frac{28}{45}$