If the numerator and denominator of a certain fraction are each decreased by 2, the value of the new fraction is ½. But if the numerator of the original fraction is increased by 1 and the denominator decreased by 2, the resulting fraction is equal to ¾. Determine the following: The original fraction. Explain the concepts/principles that were considered and the factors that affected the condition of item (a)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.1: Ratios
Problem 25WE
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If the numerator and denominator of a certain fraction are each decreased by 2, the value of the new fraction is ½. But if the numerator of the original fraction is increased by 1 and the denominator decreased by 2, the resulting fraction is equal to ¾. Determine the following:

  1. The original fraction.
  2. Explain the concepts/principles that were considered and the factors that affected the condition of item (a)
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