Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
0. Review of Algebra
Exponents
2:25 minutes
Problem 45c
Textbook Question
Textbook QuestionFind each sum or difference. 9/10 - (-4/3)
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Addition of Fractions
To add or subtract fractions, they must have a common denominator. The least common denominator (LCD) is the smallest multiple that both denominators share. In this case, the denominators are 10 and 3, and the LCD is 30. Once the fractions are expressed with the same denominator, you can combine the numerators accordingly.
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Subtracting Negative Numbers
Subtracting a negative number is equivalent to adding its positive counterpart. This concept is crucial in simplifying expressions involving subtraction. For example, in the expression 9/10 - (-4/3), the subtraction of -4/3 becomes an addition of 4/3, which alters the operation and affects the final result.
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Adding and Subtracting Complex Numbers
Simplifying Fractions
After performing operations on fractions, it is often necessary to simplify the result. Simplifying involves reducing the fraction to its lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD). This step ensures that the final answer is presented in the simplest form, making it easier to understand and use.
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