Order the fractions from least to greatest. 2 2/3,2 6/15,2 3/5,2 4/9

                               convert mixed fraction to simple fractions
F1 = 2 2/3   ⇒ (2*3)+2/3      ⇒   8/3
F2 = 2 6/15 ⇒ (2*15)+6/15  ⇒ 36/15
F3 = 2 3/5   ⇒ (2*5)+3/5      ⇒ 13/5
F4 = 2 4/9   ⇒ (2*9)+4/9      ⇒ 22/9

Get the common denominator of the 4 fractions; there common denominator is 135.

F1 ⇒   8/3 * 45/45 = 360/135
F2 ⇒ 36/15 * 9/9   = 324/135
F3 ⇒ 13/5 * 27/27 = 351/135
F4 ⇒ 22/9 * 15/15 = 330/135

Since, the denominator is the same, we can use the numerator to compare its values and order these fractions from least to greatest.

least to greatest 
324/135 ; 330/135 ; 351/135 ; 360/135
   ↓               ↓               ↓             ↓
2 6/15      2 4/9          2 3/5        2 2/3

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