Question

divide.
2 ÷ \\(\frac{4}{5}\\) =
submit

Explanation:

Step1: Recall division rule for fractions

To divide by a fraction, multiply by its reciprocal. So, \(2\div\frac{4}{5}=2\times\frac{5}{4}\).

Step2: Multiply the numbers

Multiply the numerators and denominators: \(2\times\frac{5}{4}=\frac{2\times5}{4}=\frac{10}{4}\).

Step3: Simplify the fraction

Simplify \(\frac{10}{4}\) by dividing numerator and denominator by their greatest common divisor, which is 2. So, \(\frac{10\div2}{4\div2}=\frac{5}{2}\) or \(2.5\).

Answer:

\(\frac{5}{2}\) (or \(2.5\))