Podcast
Questions and Answers
What is the result of $rac{2}{1}$ - $rac{1}{1}$ - $rac{1}{3}$ - 3$rac{1}{1}$?
What is the result of $rac{2}{1}$ - $rac{1}{1}$ - $rac{1}{3}$ - 3$rac{1}{1}$?
- $-5$ (correct)
- $-4$
- $-3$
- $-1$
Calculate the result of $rac{5}{6}$ + (-$rac{7}{12}$).
Calculate the result of $rac{5}{6}$ + (-$rac{7}{12}$).
- $rac{11}{12}$
- $rac{5}{12}$
- $rac{1}{2}$
- $rac{1}{12}$ (correct)
What is the result of -1$rac{4}{15}$ + $rac{3}{5}$?
What is the result of -1$rac{4}{15}$ + $rac{3}{5}$?
- $-rac{11}{15}$ (correct)
- $rac{1}{15}$
- $-rac{7}{15}$
- $-rac{1}{3}$
What is the result of -5 + (-$rac{3}{7}$)?
What is the result of -5 + (-$rac{3}{7}$)?
Calculate -2$rac{7}{11}$ + 1$rac{5}{22}$.
Calculate -2$rac{7}{11}$ + 1$rac{5}{22}$.
Flashcards are hidden until you start studying
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.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.