Solve Fraction Multiplication: 2/3 × 3/4 Step-by-Step

To solve this problem, follow these steps:

• Step 1: Multiply the numerators of the fractions. The numerators are $2$ and $3$.
• Step 2: Multiply the denominators of the fractions. The denominators are $3$ and $4$.
• Step 3: Simplify the resulting fraction if necessary.

Now, let us perform the multiplication:

Step 1: Multiply the numerators:

$2 \times 3 = 6$

Step 2: Multiply the denominators:

$3 \times 4 = 12$

So, the product of the fractions is:

$\frac{6}{12}$

Step 3: Simplify the fraction. To simplify, find the greatest common divisor (GCD) of 6 and 12, which is 6. Divide both numerator and denominator by 6:

$\frac{6 \div 6}{12 \div 6} = \frac{1}{2}$

Therefore, the simplified product of the fractions $\frac{2}{3} \times \frac{3}{4}$ is $\frac{1}{2}$.

This matches choice 4, which is $\frac{1}{2}$.