https://file.aiquickdraw.com/mathbot/file/17257051025727370owzb.jpg

The image displays a mathematical expression that requires subtraction:

\[
-\frac{13}{32} - \left(\frac{7}{16}\right)
\]

Let's solve this step by step:

1. **Convert the fractions to a common denominator:**
   - The denominators are 32 and 16. The least common denominator (LCD) of 32 and 16 is 32.
   - Convert \(\frac{7}{16}\) to an equivalent fraction with a denominator of 32: \(\frac{7}{16} = \frac{14}{32}\).

2. **Rewrite the expression:**
   \[
   -\frac{13}{32} - \frac{14}{32}
   \]

3. **Combine the fractions:**
   Since both fractions have the same denominator, subtract the numerators:
   \[
   -\frac{13 + 14}{32} = -\frac{27}{32}
   \]

The simplified answer is:
\[
-\frac{27}{32}
\]

Would you like more details or have any questions? Here are some related questions to explore:

1. What is the process for finding the least common denominator of two fractions?
2. How do you subtract mixed fractions with different denominators?
3. How would this subtraction change if the signs of the fractions were positive?
4. What are other methods for simplifying complex fractions?
5. How do you handle subtraction of negative fractions in word problems?

**Tip:** Always check if fractions can be simplified before performing operations—it can make calculations easier!

Learn how to subtract fractions with different denominators, such as -13/32 and (7/16), by finding the least common denominator (LCD) and simplifying the result. Perfect 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