Comparing fractions
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When considering the two fractions $\frac{3}{5}$ and $\frac{2}{3}$, which fraction is bigger? How can you tell? One way to compare these two fractions is to find a common denominator and then compare the numerators. $$\frac{3}{5}\,=\,\frac{9}{15}$$ $$\frac{2}{3}\,=\,\frac{10}{15}$$ Since it is easy to see that $\frac{9}{15}\,<\,\frac{10}{15}$, then we know that $$\frac{3}{5}\,<\,\frac{2}{3}$$ |
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Duane Habecker, Created with GeoGebra |
Self-Check
Q1: Compare using <, >, or =. $\,\,\,\frac{3}{4}\,\,[\,\,\,\,\,]\,\,\frac{7}{8}\,\,\,$ [show answer]
Q2: Compare using <, >, or =. $\,\,\,\frac{2}{3}\,\,[\,\,\,\,\,]\,\,\frac{3}{5}\,\,\,$ [show answer]
Q3: Compare using <, >, or =. $\,\,\,\frac{4}{6}\,\,[\,\,\,\,\,]\,\,\frac{6}{9}\,\,\,$ [show answer]
