Use the properties of operations and rules for multiplying and dividing to solve(1 point) Responses 8 8 1,2258 Start Fraction 1,225 over 8 End Fraction −1,225/8 negative Start Fraction 1,225 over 8 End Fraction −8 negative 89) ÷ (5/4) × (7/9) × (-5) ÷ (7/2)

Answer 1

To solve this expression, we can follow the order of operations, which includes multiplication and division from left to right.

First, let's simplify the expression (1,225/8) ÷ (5/4) × (7/9) × (-5) ÷ (7/2) step by step:

1. Divide (1,225/8) by (5/4):
(1,225/8) ÷ (5/4) = (1,225/8) × (4/5)
= (1,225 × 4) / (8 × 5)
= 4,900 / 40
= 122.5

2. Multiply the result from step 1 by (7/9):
122.5 × (7/9) = (122.5 × 7) / 9
= 857.5 / 9
≈ 95.2778 (rounded to 4 decimal places)

3. Multiply the result from step 2 by (-5):
95.2778 × (-5) = -476.3889

4. Divide the result from step 3 by (7/2):
-476.3889 ÷ (7/2) = -476.3889 × (2/7)
= (-476.3889 × 2) / 7
= -952.7778 / 7
≈ -136.1111 (rounded to 4 decimal places)

Therefore, the answer is approximately -136.1111.