Solve Fraction Division: Finding the Missing Number in 5/4 ÷ ? = 1/2

To solve this problem, follow these steps:

• Step 1: Recognize the division problem. You have $\frac{5}{4} : \text{missing number} = \frac{1}{2}$. This is equivalent to finding the missing number that, when multiplied by $\frac{1}{2}$, results in $\frac{5}{4}$.
• Step 2: Transform the division problem into multiplication by the reciprocal. The given division becomes $\frac{5}{4} \div x = \frac{1}{2}$, which can be rewritten as $\frac{5}{4} = \frac{1}{2} \times x$.
• Step 3: Solve for the missing number, $x$. Rearrange the equation to isolate $x$: $x = \frac{5}{4} \div \frac{1}{2}$.
• Step 4: Divide the fractions. Recall that dividing by a fraction $\frac{1}{2}$ is the same as multiplying by its reciprocal $\frac{2}{1}$. Thus, $x = \frac{5}{4} \times \frac{2}{1}$.
• Step 5: Calculate the result. Multiplying the fractions gives:

The missing number is therefore $\frac{5}{2}$, which corresponds to Choice 4.