Table of contents

0. Review of Algebra4h 18m
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 22m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

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1:26 minutes

Problem 177

Textbook Question

Write each percent as a fraction. Give answers in lowest terms. 140%

Verified step by step guidance

Start by expressing the percent as a fraction over 100. So, 140% becomes \( \frac{140}{100} \).

Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of 140 and 100 is 20.

Divide both the numerator and the denominator by their GCD. So, \( \frac{140}{100} \) becomes \( \frac{140 \div 20}{100 \div 20} \).

Simplify the fraction to its lowest terms.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Percentages

A percentage is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. For example, 50% means 50 out of 100, or 50/100. Understanding percentages is crucial for converting them into fractions, as it provides a clear basis for the conversion process.

Fractions

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number). To convert a percentage to a fraction, you place the percentage value over 100 and simplify it to its lowest terms. For instance, 140% can be written as 140/100.

Lowest Terms

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. To simplify a fraction, you divide both the numerator and denominator by their greatest common divisor (GCD). For example, the fraction 140/100 can be simplified to 14/10 and further to 7/5, which is its lowest term.