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Questions and Answers
What is the result of $ rac{2}{1}$ - $ rac{1}{1}$ - $ rac{1}{3}$ - 3$ rac{1}{1}$?
Calculate the result of $ rac{5}{6}$ + (-$ rac{7}{12}$).
What is the result of -1$ rac{4}{15}$ + $ rac{3}{5}$?
What is the result of -5 + (-$ rac{3}{7}$)?
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Calculate -2$ rac{7}{11}$ + 1$ rac{5}{22}$.
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Study Notes
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.
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Description
Test your skills with these math problems involving fractions and mixed numbers. Each question challenges you to apply your knowledge of addition and subtraction with negative numbers as well. Sharpen your arithmetic abilities with these practical problems!
