Evaluate the expression in the numerator.

Step 1: Evaluate the expression in the numerator. First, simplify the expression inside the parenthesis: 4(1)/(3) - 3(5)/(6) = (13)/(3) - (23)/(6) Find a common denominator, which is 6: (13 × 2)/(3 × 2) - (23)/(6) = (26)/(6) - (23)/(6) = (26 - 23)/(6) = (3)/(6) = (1)/(2) Now, multiply this result by (5)/(6) ("of" means multiplication): (5)/(6) × (1)/(2) = (5)/(12) So, the numerator is (5)/(12). Step 2: Evaluate the expression in the denominator. First, perform the multiplication: (5)/(12) × (3)/(25) = (5 × 3)/(12 × 25) = (15)/(300) Simplify the fraction by dividing both numerator and denominator by 15: (15 ÷ 15)/(300 ÷ 15) = (1)/(20) Next, perform the division. Convert mixed numbers to improper fractions: 1(5)/(9) = (9 × 1 + 5)/(9) = (14)/(9) 2(1)/(3) = (3 × 2 + 1)/(3) = (7)/(3) Now divide: (14)/(9) ÷ (7)/(3) = (14)/(9) × (3)/(7) Simplify by canceling common factors (14 and 7, 3 and 9): (14 ÷ 7)/(9 ÷ 3) × (3 ÷ 3)/(7 ÷ 7) = (2)/(3) × (1)/(1) = (2)/(3) Now, add the results of the multiplication and division: (1)/(20) + (2)/(3) Find a common denominator, which is 60: (1 × 3)/(20 × 3) + (2 × 20)/(3 × 20) = (3)/(60) + (40)/(60) = (3 + 40)/(60) = (43)/(60) So, the denominator is (43)/(60). Step 3: Divide the numerator by the denominator. (5)/(12)(43)/(60) = (5)/(12) ÷ (43)/(60) To divide fractions, multiply the first fraction by the reciprocal of the second fraction: (5)/(12) × (60)/(43) Simplify by canceling common factors (12 and 60): (5)/(1) × (60 ÷ 12)/(43) = (5)/(1) × (5)/(43) = (25)/(43) The final answer is (25)/(43). Send me the next one 📸