Answer: Proper order form least to greatest is given by
[tex]\frac{2}{7},\frac{1}{2},\frac{5}{6},\frac{4}{2}[/tex]
Step-by-step explanation:
Since we have given that
[tex]\frac{1}{2},\frac{5}{6},\frac{2}{7},\frac{4}{2}[/tex]
We need to write it in proper order from least to greatest.
For this we are required to take the L.C.M. of denominators:
1) L.C.M. of 2,6,7,2 = 42
2) Make the denominator 42:
[tex]\frac{1}{2}\times \frac{21}{21}=\frac{1\times 21}{2\times 21}=\frac{21}{42}\\\\\frac{5}{6}\times \frac{7}{7}=\frac{5\times 7}{6\times 7}=\frac{35}{42}\\\\\frac{2}{7}\times \frac{6}{6}=\frac{2\times6}{7\times 6}=\frac{12}{42}\\\\\frac{4}{2}\times \frac{21}{21}=\frac{4\times 21}{2\times 21}=\frac{48}{42}[/tex]
From least to greatest :
[tex]\frac{12}{42},\frac{21}{42},\frac{35}{42},\frac{48}{42}\\\\\frac{2}{7},\frac{1}{2},\frac{5}{6},\frac{4}{2}[/tex]
