Use the properties of operations and rules for multiplying and dividing signed numbers to solve:
(-4)x(7/5)x(-3/4)➗(7/15)
(1 point)
-147/75
147/75
9
-9
To solve this problem, you'll need to follow the order of operations, which is parentheses, multiplication/division from left to right, and then addition/subtraction from left to right.
First, let's simplify the multiplication part:
(-4) x (7/5) x (-3/4) = (-28/5) x (-3/4)
Next, let's simplify the division part:
(7/15)
Now, let's multiply the two fractions:
(-28/5) x (-3/4) = (-28 x -3) / (5 x 4) = (84/20)
Finally, let's divide the result by the fraction (7/15):
(84/20) ÷ (7/15) = (84/20) x (15/7) = (84 x 15) / (20 x 7) = 1260/140 = 9
So, the final answer is 9.
Answer: 9
To solve the expression (-4)x(7/5)x(-3/4)÷(7/15), we will use the properties of operations and the rules for multiplying and dividing signed numbers.
Step 1: Multiply the numbers from left to right.
(-4)x(7/5)x(-3/4) = -28/5 x -3/4
Step 2: Multiply the numerator and denominator separately:
(-28/5) x (-3/4) = (28 x 3) / (5 x 4)
Step 3: Multiply:
28 x 3 = 84
5 x 4 = 20
Step 4: Simplify:
84/20 = 21/5
Step 5: Divide the result by (7/15):
(21/5) ÷ (7/15) = (21/5) x (15/7)
Step 6: Multiply the numerator and denominator separately:
(21/5) x (15/7) = (21 x 15) / (5 x 7)
Step 7: Multiply:
21 x 15 = 315
5 x 7 = 35
Step 8: Simplify:
315/35 = 9
Therefore, the final result is 9.
To solve the expression (-4)x(7/5)x(-3/4)÷(7/15), we can follow these steps:
Step 1: Multiply the numbers together from left to right using the properties of operations and rules for multiplying signed numbers.
(-4)x(7/5) = -28/5
Step 2: Multiply the result from step 1 with the next number.
(-28/5)x(-3/4) = 84/20
Step 3: Divide the result from step 2 by the last number using the properties of operations and rules for dividing signed numbers.
(84/20)÷(7/15) = (84/20) x (15/7) = 1260/140 = 9
Therefore, the result of the expression (-4)x(7/5)x(-3/4)÷(7/15) is 9.