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
$$\frac{3}{5}\,<\,\frac{2}{3}$$
Duane Habecker, Created with GeoGebra
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Q2: Compare using <, >, or =. $\,\,\,\frac{2}{3}\,\,[\,\,\,\,\,]\,\,\frac{3}{5}\,\,\,$ [show answer]
Q3: Compare using <, >, or =. $\,\,\,\frac{4}{6}\,\,[\,\,\,\,\,]\,\,\frac{6}{9}\,\,\,$ [show answer]