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

# Self-Check

Q1: Compare using <, >, or =. $\,\,\,\frac{3}{4}\,\,[\,\,\,\,\,]\,\,\frac{7}{8}\,\,\,$ [show answer]

## $\frac{3}{4}\,\,<\,\,\frac{7}{8}$

Q2: Compare using <, >, or =. $\,\,\,\frac{2}{3}\,\,[\,\,\,\,\,]\,\,\frac{3}{5}\,\,\,$ [show answer]

## $\,\,\,\frac{2}{3}\,\,>\,\,\frac{3}{5}$

Q3: Compare using <, >, or =. $\,\,\,\frac{4}{6}\,\,[\,\,\,\,\,]\,\,\frac{6}{9}\,\,\,$ [show answer]

## $\,\,\,\frac{4}{6}\,\,=\,\,\frac{6}{9}$