Questions: 4 1/2 × 3 3/4 =

Transcript text: \[ 4 \frac{1}{2} \times 3 \frac{3}{4}= \]

Solution

Solution Steps

To solve the multiplication of mixed numbers, we first convert the mixed numbers to improper fractions. Then, we multiply the numerators together and the denominators together. Finally, we simplify the resulting fraction if possible.

Step 1: Convert Mixed Numbers to Improper Fractions

We start by converting the mixed numbers \( 4 \frac{1}{2} \) and \( 3 \frac{3}{4} \) into improper fractions: \[ 4 \frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{9}{2} \] \[ 3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{15}{4} \]

Step 2: Multiply the Improper Fractions

Next, we multiply the two improper fractions: \[ \frac{9}{2} \times \frac{15}{4} = \frac{9 \times 15}{2 \times 4} = \frac{135}{8} \]

Step 3: Simplify the Result

The fraction \( \frac{135}{8} \) is already in its simplest form.