(18-10 18/35)-(3 9/28+2 3/20)

To simplify the expression (18 - 10 18/35) - (3 9/28 + 2 3/20), we can follow these steps:

Step 1: Convert all mixed numbers into improper fractions.

10 18/35 = (10 * 35 + 18) / 35 = 368/35 3 9/28 = (3 * 28 + 9) / 28 = 93/28 2 3/20 = (2 * 20 + 3) / 20 = 43/20

Step 2: Perform the addition and subtraction operations inside the parentheses.

(368/35) - (93/28 + 43/20)

Step 3: Find the least common denominator (LCD) for the fractions inside the parentheses.

The denominators are 35, 28, and 20. The LCD is the smallest multiple that they all share, which is 140.

Step 4: Convert the fractions to have the same denominator as the LCD.

(368/35) - (93/28 * 5/5) - (43/20 * 7/7) = (368/35) - (465/140) - (301/140)

Step 5: Perform the subtraction operation.

[(368 * 4) - 465 - 301] / 35 * 20 = (1472 - 766) / 35 * 20 = 706/35 * 20 = 706 * 20 / 35 = 14120 / 35 = 404

Therefore, (18 - 10 18/35) - (3 9/28 + 2 3/20) simplifies to 404.