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Ch. R - Review of Basic Concepts
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063Not the one you use?Change textbook
All textbooksLial 13th EditionCh. R - Review of Basic ConceptsProblem 7
Chapter 1, Problem 7

Write each fraction in lowest terms. 8/16

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1
Identify the numerator and denominator of the fraction. Here, the numerator is 8 and the denominator is 16.
Find the greatest common divisor (GCD) of the numerator and denominator. The GCD is the largest number that divides both 8 and 16 without leaving a remainder.
Divide both the numerator and the denominator by the GCD to simplify the fraction.
Write the simplified fraction using the results from the division.
Verify that the fraction is in lowest terms by checking that the numerator and denominator have no common divisors other than 1.

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Key Concepts

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

Simplifying Fractions

Simplifying fractions involves reducing the numerator and denominator to their smallest whole numbers while keeping the same value. This is done by dividing both by their greatest common divisor (GCD). For example, 8/16 can be simplified by dividing both 8 and 16 by 8.
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Greatest Common Divisor (GCD)

The GCD of two numbers is the largest number that divides both without leaving a remainder. Finding the GCD is essential for simplifying fractions because it helps identify the factor by which both numerator and denominator can be divided to reduce the fraction.
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Equivalent Fractions

Equivalent fractions represent the same value even if their numerators and denominators differ. Simplifying a fraction produces an equivalent fraction with smaller numbers, making it easier to understand and work with in calculations.
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