https://file.aiquickdraw.com/mathbot/file/1726928257310ekm8599f.jpg

The expression shown in the image is a multiplication of three fractions:

\[
\frac{7}{12} \times \frac{3}{4} \times 1 \frac{2}{5}
\]

The third term, \(1 \frac{2}{5}\), is a mixed fraction and can be converted to an improper fraction as follows:

\[
1 \frac{2}{5} = \frac{5 \times 1 + 2}{5} = \frac{7}{5}
\]

Now, the expression becomes:

\[
\frac{7}{12} \times \frac{3}{4} \times \frac{7}{5}
\]

Multiplying these fractions involves multiplying the numerators and denominators:

\[
\frac{7 \times 3 \times 7}{12 \times 4 \times 5} = \frac{147}{240}
\]

Next, we simplify \(\frac{147}{240}\). The greatest common divisor (GCD) of 147 and 240 is 3, so we divide both the numerator and denominator by 3:

\[
\frac{147}{240} = \frac{49}{80}
\]

Thus, the simplified result is:

\[
\boxed{\frac{49}{80}}
\]

Would you like further clarification, or have any questions about this solution?

Here are five questions related to this type of problem:
1. How do you multiply two mixed fractions together?
2. What is the process for simplifying fractions?
3. How can you find the greatest common divisor (GCD) of two numbers?
4. What is the difference between an improper fraction and a mixed number?
5. How can multiplying fractions be applied in real-life problems?

**Tip:** When multiplying fractions, always check if you can simplify before multiplying to make the calculations easier!

Learn how to multiply the fractions 7/12 × 3/4 × 1 2/5, convert a mixed number to an improper fraction, and simplify the result. Detailed step-by-step solution suitable for Grades 6-8.

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