Simplify fractions

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by Dr. Osama M. Khaled — last modified 2022-10-05T12:37:46+00:00

Every fraction can be written in infinitely many equivalent forms

Questions #: 8
Time: 10 minutes
Pass Score: 80.0%
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To simplify a fraction, remove factors equal to 1 of the form \(\frac{2}{2},\frac{3}{3},\frac{4}{4},\frac{5}{5} \) and so on, using the following procedure:

  1. Factor (or prime factor) the numerator and denominator to determine their common factors.
  2. Remove factors equal to 1 by replacing each pair of factors common to the numerator and denominator with the equivalent fraction.
  3. Multiply the remaining factors in the numerator and in the denominator.

Every fraction can be written in infinitely many equivalent forms

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Simplest Form of a Fraction

A fraction is in simplest form, or lowest terms, when the numerator and denominator have no common factors other than _______

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Are the following fractions in simplest form?

  1. \(\frac{12}{27}\) (1) transparent
  2. \(\frac{5}{8}\) (2) transparent
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Yes
No
POINTS (1)

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What is the simplest form of fraction \(\frac{6}{10}\)?

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What is the simplest form of \(\frac{7}{21}\)?

POINTS (1)

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Simplify fraction \(\frac{90}{105}\)

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Write fraction \(\frac{63}{36}\) in its simplest form

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Negative fractions are simplified in the same way as positive fractions

Just remember to write a negative sign in front of each step of the solution

POINTS (1)

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