Question

4 1/8 - 6 1/9 + (- 3 1/6) - (- 5 5/4) =

Answer 1

Ответ:

Пошаговое объяснение:

4 1/8 - 6 1/9 + (- 3 1/6) - (- 5 5/4) = 1 7/72

1) 4 1/8 - 6 1/9 = 4 9/72 - 6 8/72 = 4 9/72 - 5 80/72 = - 1 71/72

2) - 1 71/72 - 3 1/6 = - 1 71/72 - 3 12/72 = - 4 83/72 = - 5 11/72

3) -5 11/72 + 5 5/4 = - 5 11/72 + 6 1/4 = - 5 11/72 + 6 18/72 = 1 7/72

Answer 2

Пошаговое объяснение:

1) 4 1/8 - 6 1/9 = 4 9/72 - 6 8/72 = 4 9/72 - 5 80/72 = -1 71/72

2) -1 71/72 + (-3 1/6) = -1 71/72 - 3 12/72 = -4 83/72 = -5 11/72

3) -5 11/72 - (-5 5/4) = -5 11/72 - (-6 1/4) = -5 11/72 + 6 18/72 = 1 7/72

Answer 3

To solve the expression 4 1/8 - 6 1/9 + (-3 1/6) - (-5 5/4), you can follow these steps:

1. Convert all the mixed numbers to improper fractions:

   • 4 1/8 = 33/8
   • 6 1/9 = 55/9
   • -3 1/6 = -19/6
   • -5 5/4 = -25/4

2. Rewrite the expression: 33/8 - 55/9 - 19/6 + 25/4

3. Find a common denominator for these fractions, which is 72. You can do this by finding the least common multiple (LCM) of 8, 9, 6, and 4, which is 72.

4. Convert each fraction to have a denominator of 72:

   • (33/8) * (9/9) = 297/72
   • (55/9) * (8/8) = 440/72
   • (19/6) * (12/12) = 228/72
   • (25/4) * (18/18) = 450/72

5. Now that all fractions have the same denominator, you can combine them: 297/72 - 440/72 - 228/72 + 450/72

6. Subtract the fractions: (297 - 440 - 228 + 450) / 72

7. Perform the arithmetic within the parentheses:

   • 371/72

So, the simplified result of the expression is -371/72.