volume_mute

Consider the following figure, do they have identical fractions of the shape?

publish date2023/09/15 23:34:00 GMT+10

volume_mute

 

equivalent_fractions.gif

Yes
No

Correct Answer

Yes

Explanation

The first shape is divided into 10 equal parts.  Since 6 of those parts are red, \(\frac{6}{10}\) of the figure is shaded.

The second figure is divided into 5 equal parts.  Since 3 of those parts are red, \(\frac35\) of the figure is shaded.  We can conclude that \(\frac{6}{10}=\frac35\) because \(\frac{6}{10}\) and \(\frac35\) represent the same shaded portion of the figure.  We say that \(\frac{6}{10}\) and \(\frac35\) are equivalent fractions.

Reference

Mathematics for college students


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