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