Question

11 $\frac{4}{6} div \frac{4}{5} =$

Explanation:

Step1: Rewrite division as multiplication

Dividing by a fraction equals multiplying by its reciprocal:
$\frac{4}{6} \div \frac{4}{5} = \frac{4}{6} \times \frac{5}{4}$

Step2: Cancel common factors

Cancel the common factor 4 in numerator and denominator:
$\frac{\cancel{4}}{6} \times \frac{5}{\cancel{4}} = \frac{1}{6} \times 5$

Step3: Multiply remaining terms

Calculate the product of the simplified fractions:
$\frac{1 \times 5}{6} = \frac{5}{6}$

Answer:

$\frac{5}{6}$