https://file.aiquickdraw.com/mathbot/file/1727463333148bdbkxbse.jpg

Let's solve the given multiplication:

\[
\left( -\frac{10}{12} \right) \times \frac{5}{7}
\]

### Step 1: Simplify the first fraction.
We can reduce \(\frac{10}{12}\) by dividing both the numerator and denominator by their greatest common divisor, which is 2:

\[
\frac{10}{12} = \frac{10 \div 2}{12 \div 2} = \frac{5}{6}
\]

Thus, the expression becomes:

\[
-\frac{5}{6} \times \frac{5}{7}
\]

### Step 2: Multiply the fractions.
To multiply two fractions, multiply the numerators together and the denominators together:

\[
-\frac{5 \times 5}{6 \times 7} = -\frac{25}{42}
\]

### Final Answer:
\[
-\frac{25}{42}
\]

Let me know if you'd like more details on this! Here are some related questions to practice:

1. How do you divide two fractions?
2. What happens if you multiply a negative fraction by a positive fraction?
3. How can you simplify a fraction to its lowest terms?
4. Can you convert \(\frac{25}{42}\) into a decimal?
5. How do you add or subtract fractions with different denominators?

**Tip:** Always try to simplify fractions before performing operations—it makes the calculation easier!

Learn how to multiply and simplify fractions using (-10/12) and (5/7). This step-by-step guide demonstrates fraction multiplication, simplifying by finding the GCD, and multiplying the numerators and denominators. Suitable for students in Grades 6-8.

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