https://file.aiquickdraw.com/mathbot/file/1727266868366d0wvd4xv.jpg

The expression in the image is:

\[
3 \frac{3}{4} \times \frac{3}{5} \times \frac{4}{6}
\]

### Step 1: Convert mixed number to an improper fraction
The first term is a mixed number \(3 \frac{3}{4}\), which we convert to an improper fraction:

\[
3 \frac{3}{4} = \frac{(3 \times 4) + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4}
\]

### Step 2: Rewrite the expression with improper fractions
Now, the expression becomes:

\[
\frac{15}{4} \times \frac{3}{5} \times \frac{4}{6}
\]

### Step 3: Multiply the numerators and denominators
We can multiply the numerators and the denominators directly:

\[
\text{Numerator} = 15 \times 3 \times 4 = 180
\]
\[
\text{Denominator} = 4 \times 5 \times 6 = 120
\]

So, the expression is:

\[
\frac{180}{120}
\]

### Step 4: Simplify the fraction
Now, simplify \(\frac{180}{120}\) by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 60:

\[
\frac{180 \div 60}{120 \div 60} = \frac{3}{2}
\]

### Final Answer:
\[
\frac{3}{2} \text{ or } 1 \frac{1}{2}
\]

Would you like more details or have any questions?

### Related Questions:
1. How do you convert mixed numbers into improper fractions?
2. How do you simplify fractions to their lowest terms?
3. What is the process for multiplying fractions?
4. How do you find the greatest common divisor (GCD)?
5. Can you convert the improper fraction back into a mixed number?

### Tip:
When multiplying fractions, always look for opportunities to simplify before multiplying to make calculations easier!

Learn how to multiply the mixed number 3 3/4 with fractions 3/5 and 4/6. Follow a step-by-step solution that covers converting mixed numbers to improper fractions, multiplying fractions, and simplifying the result. Suitable for students in Grades 5-7.

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