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
2:51 minutes
Problem 6c
Textbook Question
Textbook QuestionWhich fraction is not equal to 5/9? A. 15/27 B. 30/54 C. 40/74 D. 55/99
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Equivalent Fractions
Equivalent fractions are different fractions that represent the same value or proportion. For example, 1/2 is equivalent to 2/4 and 3/6. To determine if two fractions are equivalent, you can cross-multiply or simplify them to see if they yield the same simplest form.
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Simplifying Fractions
Simplifying fractions involves reducing them to their lowest terms by dividing both the numerator and the denominator by their greatest common divisor (GCD). For instance, the fraction 30/54 can be simplified by dividing both numbers by 6, resulting in 5/9, which helps in comparing it with other fractions.
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Cross-Multiplication
Cross-multiplication is a method used to compare two fractions by multiplying the numerator of one fraction by the denominator of the other. If the products are equal, the fractions are equivalent. This technique is particularly useful for quickly determining if a fraction is equal to another without simplifying.
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