Add.

negative 9 and one half−912plus+8 and three fourths834

Question content area bottom

Part 1

negative 9 and one half−912plus+8 and three fourths834equals=enter your response here

​(Simplify your answer. Type an​ integer, proper​ fraction, or mixed​ number.)

To add the values, we first need to express the mixed numbers as improper fractions.

### Step 1: Convert Mixed Numbers to Improper Fractions
- \( -9 \frac{1}{2} \) can be written as:
\[
-9 \frac{1}{2} = \frac{-19}{2}
\]
- \( 8 \frac{3}{4} \) can be written as:
\[
8 \frac{3}{4} = \frac{35}{4}
\]

### Step 2: Find a Common Denominator
The least common denominator between 2 and 4 is 4. So, we rewrite the fractions:
\[
\frac{-19}{2} = \frac{-38}{4}
\]

Now we can add:
\[
\frac{-38}{4} + \frac{35}{4} = \frac{-38 + 35}{4} = \frac{-3}{4}
\]

### Final Answer:
\[
-9 \frac{1}{2} + 8 \frac{3}{4} = \frac{-3}{4}
\]

This is already in its simplest form.

Would you like any further details or have any questions?

Here are five related questions:
1. How do you subtract two mixed numbers?
2. How can you simplify improper fractions?
3. What is the process of converting mixed numbers to improper fractions?
4. How do you find the least common denominator for fractions?
5. What is the difference between a proper and improper fraction?

**Tip**: When adding or subtracting mixed numbers, it's easier to first convert them into improper fractions.

Add negative 9 and one half (−9 1/2) plus 8 and three fourths (8 3/4). Simplify your answer. Type an integer, proper fraction, or mixed number.

Learn how to add mixed numbers like -9 1/2 and 8 3/4 by converting them into improper fractions and finding a common denominator. This detailed solution walks through each step with clear examples. Perfect for 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