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

Answer 1

To solve the expression (9)÷(5/4)×(7/9)×(−5)÷(7/2), we can use the properties of operations and rules for multiplying and dividing:

Step 1: Simplify the expression inside the parentheses by dividing 9 by (5/4):
(9) ÷ (5/4) = 9 × (4/5) = 36/5

Step 2: Simplify the expression by multiplying the fractions 36/5 and 7/9:
(36/5) × (7/9) = (36 × 7) / (5 × 9) = 252/45 (or 28/5 in simplified form)

Step 3: Simplify the expression by multiplying the fraction 28/5 and -5:
(28/5) × (-5) = (28 × -5) / 5 = -140/5 (or -28 in simplified form)

Step 4: Simplify the expression by dividing -140/5 by (7/2):
(-140/5) ÷ (7/2) = (-140/5) × (2/7) = (-140 × 2) / (5 × 7) = -280/35 (or -8 in simplified form)

Therefore, the answer to the expression (9)÷(5/4)×(7/9)×(−5)÷(7/2) is -8 or negative 8.