Question

(4-2 1/2×3/5)÷3 1/3-1/3

Answer 1

Ответ:

5/12

Пошаговое объяснение:

1) 2 1/2*3/5=1,5

2) 4-1,5=2,5

3) 2,5:3 1/3=3/4

4) 3/4-1/3=5/12

Answer 2

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Let's break down the expression step by step:

1. Start with the multiplication and division within parentheses: (4 - 2 1/2 × 3/5) ÷ 3 1/3 - 1/3

   First, calculate 2 1/2 × 3/5: 2 1/2 = 5/2 (5/2) × (3/5) = (15/10) = 3/2

2. Substitute the result back into the expression: (4 - 3/2) ÷ 3 1/3 - 1/3

3. Now, convert the mixed number 3 1/3 into an improper fraction: 3 1/3 = 10/3

4. Perform the division: (4 - 3/2) ÷ (10/3) - 1/3

5. Perform the subtraction inside the first set of parentheses: 4 - 3/2 = (8/2) - (3/2) = 5/2

6. Substitute the result back into the expression: (5/2) ÷ (10/3) - 1/3

7. Perform the division: (5/2) ÷ (10/3) = (5/2) × (3/10) = (15/20) = 3/4

8. Substitute the result back into the expression: 3/4 - 1/3

9. Find a common denominator, which is 12: (3/4) * (3/3) = 9/12 (1/3) * (4/4) = 4/12

10. Now, subtract the fractions: (9/12) - (4/12) = 5/12

So, the final result is 5/12.