Question

Order the fractions from least to greatest, 1/6 2/5 3/5 3/7 PLEASE HELP

Answer 1

The higher the denominator, the smaller the parts.  For example, the following five fractions are in order from least to greatest: 
$\frac{1}{5} \frac{1}{4} \frac{1}{3} \frac{1}{2} \frac{1}{1}$ 

However, when ordering $\frac{1}{6} and \frac{3}{7}$ , you may notice that the second of those two has a higher numerator.  In this particular case, that means that $\frac{1}{6}$ is the smallest of the fractions given. 

Since there are only two different denominators left now, it is easiest to make the demoninators the same. 
2 X 7 = 14
5 X 7 = 35
3 X 7 = 21

3 X 5 = 15
7 X 5 = 35

The remaining fractions are $\frac{14}{35} \frac{21}{35} \frac{15}{35}$ 
Those three fractions are actually $\frac{2}{5} \frac{3}{5} \frac{3}{7}$

Therefore, in order of smallest to largest, the fractions are $\frac{1}{6} \frac{2}{5} \frac{3}{7} \frac{3}{5}$