Question

place the fraction in order from least to greatest
,

Answer 1

3/7 1/3 2/5 and 3/8

Answer 2

\[\frac{3}{7}, \frac{1}{3}, \frac{2}{5}, \frac{3}{8}\]
You could find a common denominator
What do 7,3,5, and 8 divide?
You could force a common denominator and just take all of their denominators and multiply them to find a common denominator like so:
\[\frac{3}{7}=\frac{3}{7} \cdot \frac{3}{3} \cdot \frac{5}{5} \cdot \frac{8}{8} \]
\[\frac{1}{3}=\frac{1}{3} \cdot \frac{7}{7} \cdot \frac{5}{5} \cdot \frac{8}{8}\]
\[\frac{2}{5}=\frac{2}{5} \cdot \frac{7}{7} \cdot \frac{3}{3} \cdot \frac{8}{8}\]
\[\frac{3}{8}=\frac{3}{8} \cdot \frac{7}{7} \cdot \frac{3}{3} \cdot \frac{5}{5}\]
Since all the denominators are the same, all you have to do is compare the tops.
The tops of:
\[\frac{3(3)(5)(8)}{7(3)(5)(8)} , \frac{1(7)(5)(8)}{3(7)(5)(8)}, \frac{2(7)(3)(8)}{5(7)(3)(8)}, \frac{3(7)(3)(5)}{8(7)(3)(5)}\]

Answer 3

So which is the least:
3(3)(5)(8) , 1(7)(5)(8), 2(7)(3)(8) , 3(7)(3)(5)

Answer 4

Multiply first. This may be more revealing to you.

Answer 5

You could also write each fraction as a decimal.
These are the two ways I prefer.