The image you've provided contains a mathematical comparison of fractions: $\frac{12}{10} = \frac{3}{2} \cdot \frac{1}{1}$. To evaluate if this statement is correct, we'll simplify and compare both sides.

Simplification

The left fraction $\frac{12}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:

$\frac{12}{10} = \frac{12 \div 2}{10 \div 2} = \frac{6}{5}$

The right side $\frac{3}{2} \cdot \frac{1}{1}$ is already in its simplest form, but let's multiply the fractions:

$\frac{3}{2} \cdot \frac{1}{1} = \frac{3 \cdot 1}{2 \cdot 1} = \frac{3}{2}$

Comparison

Now, comparing the simplified forms:

$\frac{6}{5} \neq \frac{3}{2}$

Thus, the original statement $\frac{12}{10} = \frac{3}{2} \cdot \frac{1}{1}$ is incorrect because $\frac{6}{5}$ is not equal to $\frac{3}{2}$.

Would you like to know more about this or have another question? Here are some related topics we can explore:

1. How to find the Greatest Common Divisor (GCD) of two numbers?
2. How do fraction multiplication rules work?
3. What are equivalent fractions and how can you find them?
4. How to compare fractions effectively?
5. Different methods to simplify fractions.

Tip: Always simplify fractions as a first step in comparing or manipulating them to make calculations easier and more intuitive.