https://file.aiquickdraw.com/mathbot/file/1726490208016zgdjkklp.jpg

The problem in the image asks to multiply two fractions: \( \frac{4}{7} \times \left( -\frac{1}{4} \right) \).

Let's go step by step:

1. Multiply the numerators: \( 4 \times -1 = -4 \).
2. Multiply the denominators: \( 7 \times 4 = 28 \).

Thus, the result of the multiplication is:
\[
\frac{-4}{28}
\]

Now, simplify the fraction. The greatest common divisor (GCD) of 4 and 28 is 4. Divide both the numerator and the denominator by 4:
\[
\frac{-4 \div 4}{28 \div 4} = \frac{-1}{7}
\]

So, the answer in its simplest form is:
\[
\boxed{\frac{-1}{7}}
\]

Would you like more details or have any questions?

Here are 5 related questions to further explore:

1. How do you multiply fractions with different denominators?
2. What is the process for simplifying fractions?
3. How can you determine the greatest common divisor (GCD) of two numbers?
4. How do you multiply mixed numbers or improper fractions?
5. What are the steps for dividing fractions?

**Tip**: When multiplying fractions, you do not need a common denominator—just multiply straight across the numerators and denominators!

Multiply \( \frac{4}{7} \times \left( -\frac{1}{4} \right) \) and write your answer in simplest form.

Learn how to multiply fractions and simplify them in this step-by-step solution. This problem involves multiplying \( \frac{4}{7} \) by \( -\frac{1}{4} \) and simplifying the result using the greatest common divisor (GCD). Suitable for Grades 6-8.

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