Answer:
\(\displaystyle\frac{7}{12}< \frac{5}{8}< \frac{2}{3}\)
Step-by-step explanation:
We are given the following fractions:
\(\displaystyle\frac{7}{12}, \frac{5}{8}, \frac{2}{3}\)
Taking the LCD of the denominator which is 24, we have,
\(\displaystyle\frac{7\times 2}{12\times 2}, \frac{5\times 3}{8\times 3}, \frac{2\times 8}{3\times 8}\\\\= \frac{14}{24}, \frac{15}{24}, \frac{16}{24}\)
Now arranging them in order from least to great we have:
\(\displaystyle\frac{14}{24} < \frac{15}{24} < \frac{16}{24}\\\\\displaystyle\frac{7}{12}<\frac{5}{8}< \frac{2}{3}\)
