Bai 3 : 1) 1 (3)/(5)-|(5)/(2)|+(-1)/(4)+(21)/(8)

This is a simple arithmetic problem involving fractions. To solve it, we first need to perform the operations in the correct order. According to the order of operations (PEMDAS/BODMAS), we should perform any calculations inside parentheses first, then multiplication and division from left to right, and finally addition and subtraction from left to right.<br /><br />1. Calculate the value inside the parentheses: (3/5 - 5/2). To subtract fractions, they must have the same denominator. The least common denominator for 5 and 2 is 10. So, convert 3/5 to 6/10 and 5/2 to 25/10. Now, subtract 6/10 - 25/10 = -19/10.<br /><br />2. Add the result to -1/6: -19/10 + -1/6. Again, to add fractions, they must have the same denominator. The least common denominator for 10 and 6 is 30. So, convert -19/10 to -57/30 and -1/6 to -5/30. Now, add -57/30 + -5/30 = -62/30.<br /><br />3. Finally, add the result to 81/8: -62/30 + 81/8. The least common denominator for 30 and 8 is 120. So, convert -62/30 to -248/120 and 81/8 to 1215/120. Now, add -248/120 + 1215/120 = 967/120.<br /><br />4. Simplify the fraction if possible. 967/120 is already in its simplest form.<br /><br />So, the final answer is 967/120.