Use the properties of operations and rules for multiplying and dividing signed numbers to solve:
(−4)×(7/5)×(−3/4)÷(7/15)
147/75
9
-9
-147/75
The solution to the expression (-4) × (7/5) × (-3/4) ÷ (7/15) is -147/75.
To solve this problem, we can apply the properties of operations and rules for multiplying and dividing signed numbers.
First, let's simplify the expression inside the parentheses:
(-4) × (7/5) × (-3/4) ÷ (7/15)
= (-4) × (-3) × (7/5) ÷ (7/15) (multiplication of fractions)
= 12 × (7/5) ÷ (7/15) (multiplication of signed numbers)
= (12 × 7) / (5 × 7) ÷ (7/15) (multiplication of fractions)
= 84 / 35 ÷ (7/15)
= 84 / 35 × (15/7) (division of fractions)
= (84 × 15) / (35 × 7) (multiplication of fractions)
Now, we can simplify this expression further:
= 1260 / 245
= 252 / 49
= 36 / 7
Therefore, the solution to the expression (-4) × (7/5) × (-3/4) ÷ (7/15) is -147/75.
To solve this expression, we can start by multiplying the numbers together and then divide them.
Step 1: Multiply -4 by 7/5:
-4 × 7/5 = -28/5
Step 2: Multiply the result from the previous step by -3/4:
-28/5 × -3/4 = 84/20
Step 3: Divide the result from step 2 by 7/15:
(84/20) ÷ (7/15)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(84/20) × (15/7) = (84 × 15) / (20 × 7) = 1260/140 = 9
Therefore, the solution to the expression is 9.