To solve this problem, we follow the order of operations: parentheses, multiplication/division (from left to right), and addition/subtraction (from left to right).
First, we simplify within the parentheses:
(−4) × (7/5) × (−3/4) ÷ (7/15) = (−4) × (7/5) × (−3/4) ÷ (7/15)
= (−4) × (7/5) × (−3/4) × (15/7)
= (−4) × (7 × 15) / (5 × 4 × 7)
= (−4) × (105) / (20 × 7)
= −420 / 140
Next, we simplify the division:
−420 / 140 = (−420) ÷ (140)
= (−420) × (1/140)
= (−420/1) × (1/140)
Finally, we multiply the numerators and the denominators:
= (−420 × 1) / (1 × 140)
= −420/140.
Simplifying further, we get:
−420/140 = −3/1 = −3.
Therefore, the answer is D) 9.
Use the properties of operations and rules for multiplying and dividing signed numbers to solve:
(−4) × (7/5) × (−3/4 ) ÷ (7/15)
A −9
B −147/75
C 147/75
D 9
1 answer