To solve this fractions, first we need to find the LCD (Least Common Denominator). Next, we need to make the denominators the same by multiplying both numerator and denominator by the same number. After that, we need to add or subtract the numerators and we need to simplify the answer, or change it to a mixed number if needed.1. 5/2 + 1/6 + 2/3 - 2/9LCD = 185/2 (multiply numerator and denominator by 9) = 45/181/6 (multiply numerator and denominator by 3) = 3/182/3 (multiply numerator and denominator by 6) = 12/182/9 (multiply numerator and denominator by 2) = 4/18(45 + 3 + 12 - 4) / 18 = 56/18 = 28/92. 7/3 + 2/5 + 3/1LCD = 157/3 (multiply numerator and denominator by 5) = 35/152/5 (multiply numerator and denominator by 3) = 6/153/1 (multiply numerator and denominator by 15) = 45/15(35 + 6 + 45) / 15 = 86/153. 11/4 - 5/2LCD = 411/4 = 11/4 (it stays, because 4 is already the denominator/LCD)5/2 (multiply numerator and denominator by 2) = 10/4(11 - 10) / 4 = 1/44. 13/2 - 1/3 - 3/4LCD = 1213/2 (multiply numerator and denominator by 6) = 78/121/3 (multiply numerator and denominator by 4) = 4/123/4 (multiply numerator and denominator by 3) = 9/12(78 - 4 - 9) / 12 = 65/125. 2/5 + 3/4LCD = 202/5 (multiply numerator and denominator by 4) = 8/203/4 (multiply numerator and denominator by 5) = 15/20(8 + 15) / 20 = 23/206. 3/2 - 4/3LCD = 63/2 (multiply numerator and denominator by 3) = 9/64/3 (multiply numerator and denominator by 2) = 8/6(9 - 8) / 6 = 1/67. 8/3 + 2/5LCD = 158/3 (multiply numerator and denominator by 5) = 40/152/5 (multiply numerator and denominator by 3) = 6/15(40 + 6) / 15 = 46/15 8. 5/6 + 1/3 + 3/2LCD = 65/6 = 5/6 ( it stays, because 6 is already the denominator/LCD)1/3 (multiply numerator and denominator by 2) = 2/63/2 (multiply numerator and denominator by 3) = 9/6(5 + 2 + 9) / 6 = 16/6 = 8/3