Solve the Fraction Division: 10/8 ÷ 2 Step-by-Step

To solve the problem of dividing the fraction $\frac{10}{8}$ by the whole number 2, we will follow these steps:

• Step 1: Rewrite the division as multiplication by the reciprocal.
• Step 2: Simplify the resulting fraction, if possible.

Now, let's work through each step:

Step 1: We need to divide $\frac{10}{8}$ by 2. According to the division rule for fractions, dividing by a whole number is equivalent to multiplying by its reciprocal. Therefore, we will multiply $\frac{10}{8}$ by $\frac{1}{2}$:

$\frac{10}{8} \times \frac{1}{2}$

Step 2: Now, perform the multiplication:

$\frac{10 \times 1}{8 \times 2} = \frac{10}{16}$

Next, simplify the fraction $\frac{10}{16}$. The greatest common divisor of 10 and 16 is 2:

Divide the numerator and the denominator by their greatest common divisor:

$\frac{10 \div 2}{16 \div 2} = \frac{5}{8}$

Therefore, the simplified result of the division is $\frac{5}{8}$.

From the answer choices provided, the correct choice is $\frac{5}{8}$.

Thus, the solution to the problem is $\frac{5}{8}$.