https://file.aiquickdraw.com/mathbot/file/1727304914478o1yljgyu.jpg

The expression given is:

\[
-\frac{3}{5}(-4 + (-6))
\]

We need to apply the distributive property, which states that:

\[
a(b + c) = ab + ac
\]

Here, \(a = -\frac{3}{5}\), \(b = -4\), and \(c = -6\).

Distribute \( -\frac{3}{5} \) to both \( -4 \) and \( -6 \):

1. First term: 
\[
-\frac{3}{5} \times (-4) = \frac{12}{5}
\]

2. Second term:
\[
-\frac{3}{5} \times (-6) = \frac{18}{5}
\]

Now, the expression after applying the distributive property is:

\[
\frac{12}{5} + \frac{18}{5}
\]

Would you like me to continue with the simplification, or do you have any other questions?

---

Here are five related questions for further understanding:

1. How do you simplify the sum of two fractions with the same denominator?
2. What happens when you multiply a negative fraction by a negative number?
3. Can the distributive property be applied to subtraction?
4. How does the distributive property differ when applied to multiplication of integers vs. fractions?
5. What is the reverse process of the distributive property?

**Tip**: The distributive property is useful for simplifying expressions involving parentheses and for breaking down more complex algebraic equations into smaller, manageable parts.

What is the expression after applying the distributive property? -3/5(-4 + (-6))

Learn how to apply the distributive property to the expression -3/5(-4 + (-6)). This problem explores key algebraic concepts such as multiplication and addition of fractions. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation