Question

3 * (- 5/12 - 7/8) - 11/20 : 4 2/5​

Answer 1

3(-5/12-7/8)-11/20÷4 2/5

3(-10/24-21/24)-11/20÷22/5

3(-31/24)-11/20×5/22

-31/8-1/8

-32/8

-4

Answer 2

To simplify the expression, let's perform the calculations step by step:

Step 1: Simplify the expression inside the parentheses. -5/12 - 7/8 = (-5 * 2) / (12 * 2) - (7 * 3) / (8 * 3) = -10/24 - 21/24 = (-10 - 21) / 24 = -31/24

Step 2: Now, we have 3 * (-31/24) - 11/20 : 4 2/5

Step 3: Convert the mixed number 4 2/5 to an improper fraction. 4 2/5 = (4 * 5 + 2) / 5 = 22/5

Step 4: Calculate the division.

• 11/20 : 22/5 = -11/20 * 5/22 = -11/44

Step 5: Now we have 3 * (-31/24) - 11/44

Step 6: Calculate the multiplication. 3 * (-31/24) = -3 * 31/24 = -93/24

Step 7: Now we have -93/24 - 11/44

Step 8: Find the common denominator for the fractions, which is the least common multiple of 24 and 44, which is 264.

Step 9: Convert both fractions to have a denominator of 264. -93/24 = -93 * 11 / (24 * 11) = -1023/264 -11/44 = -11 * 6 / (44 * 6) = -66/264

Step 10: Now we have -1023/264 - 66/264

Step 11: Combine the fractions with the same denominator. -1023/264 - 66/264 = (-1023 - 66) / 264 = -1089/264

The final simplified result is -1089/264. This fraction can be further simplified, but it is already in its reduced form.