To solve this expression, follow the order of operations (PEMDAS/BODMAS):

Calculate the terms inside the parentheses first:
(11/4 - 5/14) = 77/28 - 5/14 = 77/28 - 10/28 = 67/28

Now, rewrite the expression with the calculated value:
5/14 + 18/35 + 67/28 ÷ (5/12)

Perform division first:
67/28 ÷ (5/12) = 67/28 * 12/5 = 804/140 = 201/35

Rewrite the expression using the new value:
5/14 + 18/35 + 201/35

Find a common denominator for the fractions:
5/14 = 75/210
18/35 = 108/210

Now, rewrite the expression with the common denominator:
75/210 + 108/210 + 201/35

Add the fractions with the same denominator:
75/210 + 108/210 = 183/210

Add the remaining fraction:
183/210 + 201/35 = 183/210 + 1206/210 = 1389/210

Simplify the fraction, if needed:
1389/210 = 463/70

Therefore, the final answer is 463/70.