Solve Fraction Division: 2/3 ÷ 2 Step by Step

To solve this problem, we need to divide the fraction $\frac{2}{3}$ by the whole number 2.

We'll follow these steps:

• Step 1: Express the division operation with reciprocal multiplication.
• Step 2: Simplify the expression if possible.

Step 1: To divide $\frac{2}{3}$ by 2, we multiply $\frac{2}{3}$ by the reciprocal of 2. The reciprocal of 2 is $\frac{1}{2}$. Thus, we have:

$\frac{2}{3} \div 2 = \frac{2}{3} \times \frac{1}{2}$

Step 2: Perform the multiplication:

$\frac{2 \times 1}{3 \times 2} = \frac{2}{6}$

Simplify $\frac{2}{6}$ by dividing the numerator and the denominator by their greatest common divisor, which is 2:

$\frac{2}{6} = \frac{2 \div 2}{6 \div 2} = \frac{1}{3}$

Thus, the solution to the problem is $\frac{1}{3}$.