Math Problem Statement

−3 2/1 ​ +(−4 3/1 ​ )

Solution

The expression 321+(431)-3 \frac{2}{1} + \left( -4 \frac{3}{1} \right) can be simplified as follows:

  1. Convert the mixed numbers into improper fractions or whole numbers.

    • 321-3 \frac{2}{1} is the same as 32=5-3 - 2 = -5.
    • 431-4 \frac{3}{1} is the same as 43=7-4 - 3 = -7.
  2. Now, simplify the expression: 5+(7)=12-5 + (-7) = -12

So, the result is 12-12.

Would you like further details or explanations?

Here are 5 related questions:

  1. How do you convert mixed numbers into improper fractions?
  2. What is the rule for adding two negative numbers?
  3. How do you add and subtract fractions?
  4. Can you multiply or divide mixed numbers directly?
  5. What is the difference between improper fractions and mixed numbers?

Tip: When adding negative numbers, think of it as moving left on the number line.

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Math Problem Analysis

Mathematical Concepts

Mixed Numbers
Addition of Negative Numbers
Whole Numbers

Formulas

Convert mixed numbers to improper fractions
Add negative integers

Theorems

Number Line Movement for Addition
Properties of Negative Numbers

Suitable Grade Level

Grades 5-7