Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
start fraction, 2, divided by, 3, end fraction, dot, minus, start fraction, 3, divided by, 4, end fraction
3
2
​
 ⋅− 
4
3
​


The expression you provided is:

\[
\frac{2}{3} \cdot -\frac{3}{4}
\]

To solve this, follow these steps:

1. Multiply the numerators together: \( 2 \cdot -3 = -6 \).
2. Multiply the denominators together: \( 3 \cdot 4 = 12 \).

So, the result is:

\[
\frac{-6}{12}
\]

3. Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 6:

\[
\frac{-6 \div 6}{12 \div 6} = \frac{-1}{2}
\]

Thus, the fully simplified answer is:

\[
\boxed{-\frac{1}{2}}
\]

Do you have any questions or need further details? Here are 5 related questions to consider:

1. How do you find the greatest common divisor of two numbers?
2. What are the rules for multiplying fractions?
3. How can you simplify a fraction step by step?
4. How does multiplying two negative numbers affect the result?
5. What other types of fraction operations involve multiplication?

**Tip:** Always check if both the numerator and denominator have a common factor to simplify the fraction.

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
start fraction, 2, divided by, 3, end fraction, dot, minus, start fraction, 3, divided by, 4, end fraction

Learn how to perform the multiplication of fractions and simplify the result. This problem involves multiplying 2/3 by -3/4 and reducing the answer to its simplest form, covering key concepts like fraction multiplication and simplification using the greatest common divisor. Suitable for students in Grades 6-8.

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