Question

1\frac{7}{9} \div \frac{4}{9}

Explanation:

Step1: Convert mixed number to improper fraction

$1\frac{7}{9} = \frac{1\times9 + 7}{9} = \frac{16}{9}$

Step2: Rewrite division as multiplication by reciprocal

$\frac{16}{9} \div \frac{4}{9} = \frac{16}{9} \times \frac{9}{4}$

Step3: Simplify and calculate

$\frac{16 \times 9}{9 \times 4} = \frac{16}{4} = 4$

Answer:

$4$