Question

4 ÷ x × \frac{9}{10} =

Explanation:

Step1: Convert mixed number to improper fraction

$4\frac{1}{6} = \frac{4\times6 + 1}{6} = \frac{25}{6}$

Step2: Multiply the two fractions

$\frac{25}{6} \times \frac{9}{10} = \frac{25\times9}{6\times10}$

Step3: Simplify the fraction

$\frac{225}{60} = \frac{15}{4}$

Step4: Convert to mixed number (optional)

$\frac{15}{4} = 3\frac{3}{4}$

Answer:

$\frac{15}{4}$ or $3\frac{3}{4}$