ecause of the commutative property of multiplication, it is true that \( \frac{3}{4} \times 4=4 \times \frac{3}{4} \). However, these expressions can be calculated in ferent ways even though the solutions will be the same. low, show two different ways of solving this problem. rst, show how \( \frac{3}{4} \times 4 \) can be solved using repeated addition. 2 points) B U \[ 3 / 4+3 / 4+3 / 4+3 / 4= \]

To solve \( \frac{3}{4} \times 4 \) using repeated addition, we can interpret the multiplication as adding \( \frac{3}{4} \) a total of 4 times. ### Step 1: Set up the repeated addition We can express \( \frac{3}{4} \times 4 \) as: \[ \frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4} \] ### Step 2: Perform the addition Now, we will add these fractions together. Since they all have the same denominator, we can simply add the numerators: \[ \frac{3}{4} + \frac{3}{4} + \frac{3}{4} + \frac{3}{4} = \frac{3 + 3 + 3 + 3}{4} = \frac{12}{4} \] ### Step 3: Simplify the result Now, we simplify \( \frac{12}{4} \): \[ \frac{12}{4} = 3 \] Thus, using repeated addition, we find that: \[ \frac{3}{4} \times 4 = 3 \] ### Summary So, the first method using repeated addition shows that \( \frac{3}{4} \times 4 = 3 \). Next, we can show the second method of solving \( \frac{3}{4} \times 4 \) using direct multiplication. ### Second Method: Direct Multiplication To solve \( \frac{3}{4} \times 4 \) directly, we can multiply the fraction by the whole number: \[ \frac{3}{4} \times 4 = \frac{3 \times 4}{4} \] ### Step 1: Multiply the numerator Calculating the numerator: \[ 3 \times 4 = 12 \] ### Step 2: Write the result as a fraction Now we have: \[ \frac{12}{4} \] ### Step 3: Simplify the result Finally, we simplify \( \frac{12}{4} \): \[ \frac{12}{4} = 3 \] ### Conclusion Both methods yield the same result: \[ \frac{3}{4} \times 4 = 3 \] Thus, we have shown two different ways to solve \( \frac{3}{4} \times 4 \), both leading to the same answer of 3.