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

College Algebra

0. Review of Algebra

Exponents

1:36 minutes

Problem 11a

Textbook Question

Write each fraction in lowest terms. 90/150

Verified step by step guidance

Identify the greatest common divisor (GCD) of the numerator and the denominator. In this case, find the GCD of 90 and 150.

Divide both the numerator and the denominator by their GCD to simplify the fraction.

Write the simplified fraction using the results from the division.

Verify that the fraction is in its lowest terms by checking that the numerator and denominator have no common factors other than 1.

Express the final simplified fraction.

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Key Concepts

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

Lowest Terms

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. This means that the fraction cannot be simplified further. To express a fraction in lowest terms, you divide both the numerator and the denominator by their greatest common divisor (GCD).

Greatest Common Divisor (GCD)

The greatest common divisor is the largest positive integer that divides two or more integers without leaving a remainder. For example, the GCD of 90 and 150 is 30. Finding the GCD is essential for simplifying fractions, as it allows you to reduce the fraction to its simplest form.

Simplifying Fractions

Simplifying fractions involves reducing them to their lowest terms by dividing the numerator and denominator by their GCD. This process makes fractions easier to work with and understand. For instance, simplifying 90/150 by dividing both by 30 results in 3/5, which is the fraction in its simplest form.