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
Problem 187
Textbook Question
Write each fraction as a percent. 9/4
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1
Start by understanding that to convert a fraction to a percent, you need to multiply the fraction by 100.
Write the fraction \( \frac{9}{4} \) as a multiplication expression: \( \frac{9}{4} \times 100 \).
Multiply the numerator (9) by 100 to get 900.
Divide the result (900) by the denominator (4) to simplify the expression.
The result of this division will give you the percentage equivalent of the fraction \( \frac{9}{4} \).
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Fractions
A fraction represents a part of a whole and is expressed as a ratio of two integers, where the numerator is the top number and the denominator is the bottom number. In the case of 9/4, it indicates that 9 parts are taken from a total of 4 equal parts. Understanding fractions is essential for converting them into other forms, such as percentages.
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Percentages
A percentage is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. To convert a fraction to a percentage, you multiply the fraction by 100. For example, to convert 9/4 to a percentage, you would calculate (9/4) * 100, which helps in understanding proportions in a more relatable format.
Conversion Techniques
Conversion techniques involve methods used to change one form of representation to another, such as converting fractions to percentages. This process typically includes multiplying the fraction by 100 and simplifying the result. Mastery of these techniques is crucial for solving problems that require different numerical representations.
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