Question

8 1/2-3 1/2÷(2 1/2+1 3/4)×2 3/7=

Answer 1

1)2 1/2+1 3/4=4 1/4
2)3 1/2:4 1/4=14/17
3)14/17*2 3/7=2
4)8 1/2-2=6 1/2

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

The expression is:

8 1/2 - 3 1/2 ÷ (2 1/2 + 1 3/4) × 2 3/7

Step 1: Evaluate the expression inside the parentheses first:

2 1/2 + 1 3/4 = 5/2 + 7/4 To add these fractions, find a common denominator, which is 4: (5/2) * (2/2) + (7/4) * (1/1) = 10/4 + 7/4 = 17/4

Now the expression becomes:

8 1/2 - 3 1/2 ÷ (17/4) × 2 3/7

Step 2: Next, evaluate the division:

3 1/2 ÷ (17/4) = (7/2) ÷ (17/4) To divide by a fraction, invert the divisor and multiply: (7/2) * (4/17) = 28/34 = 14/17

Now the expression becomes:

8 1/2 - 14/17 × 2 3/7

Step 3: Now, evaluate the multiplication:

14/17 × 2 3/7 = (14/17) * (17/7) + (3/7) = 2 + 3/7 = 2 3/7

Now the expression becomes:

8 1/2 - 2 3/7

Step 4: Finally, perform the subtraction:

To subtract, find a common denominator, which is 14: (8 * 14 + 1) / 14 - (2 * 14 + 3) / 14 = (113 / 14) - (31 / 14) = 82 / 14

Now, simplify the result:

82 / 14 = 41 / 7 ≈ 5.85714285714

So, the final answer is approximately 5.857.