Math Problems Fractions and Mixed Numbers

Basic Arithmetic Operations with Fractions

• Evaluating $\frac{2}{1}$ - $\frac{1}{1}$ - $\frac{1}{3}$ - 3$\frac{1}{1}$ combines whole numbers and improper fractions for a final result.
• The expression simplifies to a whole number and a fraction, demonstrating subtraction with both types of numbers.

Adding and Subtracting Fractions

• Adding fractions involving negative numbers, such as $\frac{5}{6}$ + (-$\frac{7}{12}$), requires a common denominator for accurate calculations.
• Calculate the common denominator for $\frac{5}{6}$ and -$\frac{7}{12}$, finding the resulting value after simplification.

Mixed Numbers and Improper Fractions

• Mixed numbers like -1$\frac{4}{15}$ are converted to improper fractions when adding to $\frac{3}{5}$ for easier computation.
• Maintaining signs is crucial to determine the final result when dealing with negative mixed numbers.

Combining Negative Whole Numbers and Fractions

• The operation -5 + (-$\frac{3}{7}$) highlights how to add negative whole numbers to fractions, resulting in a larger negative value.

Operations with Mixed Numbers

• The problem -2$\frac{7}{11}$ + 1$\frac{5}{22}$ combines mixed numbers and requires converting both into improper fractions or improper and proper for addition.
• A common denominator is identified to perform addition of fractions and mixed numbers effectively.

Addition of Mixed Numbers with Negatives

• The problem -5$\frac{1}{14}$ + (-2$\frac{4}{21}$) illustrates adding two mixed negative numbers to yield a more significant negative result.
• Conversion to improper fractions before addition simplifies the process and avoids error.