Understand two fractions as equivalent if they are the same point on a number line referring to the same whole. Use this understanding to generate simple equivalent fractions.
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Ebony and Shaun both have the same length string. Ebony cuts her string into three equal-length pieces to make necklaces, and Shaun cuts his string into six equal-length pieces to make bracelets. Ebony uses two of her pieces of string and Shaun uses four of his pieces of string. Who used more string, Ebony or Shaun? Draw a picture to support your reasoning.
a. $$\frac{2}{4}$$
b. $$\frac{1}{2}$$
Scott drew this picture:
Then he said
This shows that $$ \frac{\mathbf{1}}{\mathbf{4}}$$ is equal to .$$\frac{\mathbf{4}}{\mathbf{8}}$$.
Comparing Fractions with a Different Whole, accessed on March 28, 2018, 1:21 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by The Match Foundation, Inc.?
Find a fraction that is equivalent to $$\frac{2}{4}$$. Show or explain how you know they are equivalent using a number line.
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