Question

Write each fraction in lowest terms. $$\frac{77}{132}$$

   Write each fraction in lowest terms.
$$\frac{77}{132}$$

College Algebra and Trigonometry

College Algebra and Trigonometry

Margaret L. Lial,… 7th Edition

Chapter 0, Problem 16

Instant Answer

Solved by Expert Erika Bustos

08/17/2021

Step 1

The GCD is the largest number that can divide both numbers without leaving a remainder. In this case, the GCD is 11. Show more…

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Write each fraction in lowest terms. $$\frac{77}{132}$$

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Key Concepts

Simplifying Fractions

Simplifying fractions is the process of rewriting a fraction so that the numerator and the denominator are as small as possible while retaining the same value. This involves dividing both the numerator and the denominator by their common factors until no further reduction is possible.

Greatest Common Divisor (GCD)

The greatest common divisor (GCD) is the largest positive integer that divides two numbers without leaving a remainder. In the context of fractions, finding the GCD of the numerator and denominator is essential because dividing both by this number reduces the fraction to its simplest form.

Prime Factorization

Prime factorization involves expressing a number as a product of its prime factors. This method can be used to identify common factors between the numerator and denominator of a fraction, thereby aiding in the simplification process by revealing the GCD.

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