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 = 75/21018/35 = 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.
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.