use property of operations and rules for multiplying and dividing signed numbers to solve:
(-4)x(7/5)x(-3/4)*(7/15)
a. -9
b. -147/75
c. 147/75
d. 9
To solve this problem, we can simplify the expression step by step using the rules for multiplying and dividing signed numbers.
First, let's simplify (-4) x (7/5) x (-3/4) x (7/15):
Negative numbers multiplied by positive numbers give negative numbers. Therefore, (-4) x (7/5) = -28/5.
Multiply -28/5 by (-3/4):
When we multiply fractions, we simply multiply the numerators and the denominators.
Therefore, -28/5 x (-3/4) = (28 x 3) / (5 x 4) = 84/20.
Finally, multiply 84/20 by 7/15:
To multiply fractions, we multiply the numerators and the denominators.
(84/20) x (7/15) = (84 x 7) / (20 x 15) = 588/300.
We can simplify 588/300 by dividing both the numerator and denominator by their greatest common divisor, which in this case is 12.
588/300 = (588/12) / (300/12) = 49/25.
Therefore, the simplified expression is 49/25.
The correct answer is: c. 147/75.
To solve the expression (-4) x (7/5) x (-3/4) x (7/15), we can follow these steps using the properties of operations and rules for multiplying and dividing signed numbers:
Step 1: Multiply the first two numbers, (-4) x (7/5):
(-4) x (7/5) = -28/5
Step 2: Multiply the result from step 1 by (-3/4):
(-28/5) x (-3/4) = 84/20 = 21/5
Step 3: Multiply the result from step 2 by (7/15):
(21/5) x (7/15) = 147/75
Therefore, the solution to the expression is option b. -147/75.
To solve the given expression (-4) x (7/5) x (-3/4) x (7/15), we can use the property of operations and rules for multiplying and dividing signed numbers.
Here's the step-by-step solution to finding the answer:
Step 1: Multiply the numbers together from left to right, following the rules for multiplying signed numbers.
(-4) x (7/5) = -28/5
Now we have: -28/5 x (-3/4) x (7/15)
Step 2: Multiply the next two numbers together.
(-28/5) x (-3/4) = 84/20 = 21/5
Now we have: 21/5 x (7/15)
Step 3: Multiply the final two numbers together.
(21/5) x (7/15) = 147/75
Therefore, the answer is 147/75.
Option (c) 147/75 is the correct answer.