To solve \( \frac{2}{9} + \left( -\frac{1}{2} \right) \), we first need a common denominator.

The denominators are 9 and 2. The least common denominator (LCD) of 9 and 2 is 18.

1. Rewrite both fractions with 18 as the denominator:

\[
\frac{2}{9} = \frac{2 \times 2}{9 \times 2} = \frac{4}{18}
\]

\[
-\frac{1}{2} = \frac{-1 \times 9}{2 \times 9} = \frac{-9}{18}
\]

2. Now add the fractions:

\[
\frac{4}{18} + \frac{-9}{18} = \frac{4 + (-9)}{18} = \frac{-5}{18}
\]

Thus, the result is \( \frac{-5}{18} \).

Would you like further clarification on any part of the process?

Here are 5 questions to expand on this:
1. How do you find the least common denominator of two fractions?
2. What is the process of adding fractions with different denominators?
3. Can a negative sign affect a fraction's numerator or denominator?
4. How do you simplify a fraction if needed?
5. What is the difference between improper fractions and mixed numbers?

**Tip:** Always look for the least common denominator to make adding or subtracting fractions easier.

Learn how to solve the fraction addition problem 2/9 + (-1/2) with a step-by-step explanation. This example demonstrates the process of finding the least common denominator, rewriting fractions, and adding negative fractions. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation