When students give fractions common denominators to add them they sometimes say that they are giving the fractions “like wholes.” a) Explain why this language is not completely accurate. b) What is a more accurate way of talking about what we are really doing when we give fractions common denominators to add them? c) Use the example 2/3 + ¼ to explain your answer and to discuss in detail

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter1: Introduction To Common Fractions And Mixed Numbers
Section: Chapter Questions
Problem 11A: In Exercises 11 and 12, express the given fractions as equivalent fractions with the indicated...
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When students give fractions common denominators to add them they sometimes say that they are giving the fractions “like wholes.”

a) Explain why this language is not completely accurate.

b) What is a more accurate way of talking about what we are really doing when we give fractions common denominators to add them?

c) Use the example 2/3 + ¼ to explain your answer and to discuss in detail why we add fractions the way we do.

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