Solve: 4/5 Divided by 2 - Fraction Division Problem

To solve the problem of dividing the fraction $\frac{4}{5}$ by 2, we can utilize the method of multiplying by the reciprocal. Here’s how you can systematically approach it:

Given the division $\frac{4}{5} : 2$, we first express the division by finding the reciprocal.
Step 1: The reciprocal of 2 is $\frac{1}{2}$.

Step 2: Now, multiply the fraction $\frac{4}{5}$ by $\frac{1}{2}$:

$\frac{4}{5} \times \frac{1}{2} = \frac{4 \times 1}{5 \times 2} = \frac{4}{10}$

Step 3: Simplify the resulting fraction:

The numerator and the denominator have a common factor of 2. Dividing both by 2 gives:

$\frac{4 \div 2}{10 \div 2} = \frac{2}{5}$

Therefore, the solution to the problem $\frac{4}{5} : 2$ is $\frac{2}{5}$.