use the properties of operations and rules for multiplying and dividing signed numbers to solve -4 x 7/5 x -3/4 divided 7/15
To solve -4 x (7/5) x (-3/4) divided by (7/15), we follow the order of operations:
First, multiply the numbers together:
-4 x (7/5) x (-3/4) = (-4) x (7/5) x (-3/4) = -28/5 x (-3/4)
Next, divide the result by (7/15):
(-28/5 x (-3/4)) / (7/15)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-28/5 x (-3/4)) * (15/7)
Simplifying each fraction, we get:
((-28/1) x (-3/1)) * (15/7)
Multiplying the numerators and denominators, we get:
(84/1) * (15/7)
Multiplying these fractions together:
(84 * 15) / (1 * 7) = 1260/7
Simplifying the fraction, we get:
1260 divided by 7 = 180
Therefore, -4 x (7/5) x (-3/4) divided by (7/15) equals 180.
To solve the given expression step by step using the properties of operations and rules for multiplying and dividing signed numbers, we'll follow these steps:
Step 1: Simplify the multiplication between -4 and 7/5:
-4 x 7/5 = -28/5
Step 2: Simplify the multiplication between -28/5 and -3/4:
-28/5 x -3/4 = 84/20
Step 3: Simplify the division between 84/20 and 7/15:
84/20 ÷ 7/15
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
84/20 x 15/7
Step 4: Simplify the multiplication between 84/20 and 15/7:
84/20 x 15/7 = 1260/140
Step 5: Simplify the resulting fraction:
1260/140 = 9/1 = 9
So, the final solution to -4 x 7/5 x -3/4 ÷ 7/15 is 9.
To solve the expression -4 x 7/5 x -3/4 ÷ 7/15 using the properties of operations and rules for multiplying and dividing signed numbers, follow these steps:
Step 1: Simplify the fraction by multiplying the numerator and denominator of each fraction:
-4 x 7/5 x -3/4 ÷ 7/15 becomes -4 x 7 x -3 ÷ 5 x 4 ÷ 7 ÷ 15.
Step 2: Apply the rules for multiplying and dividing signed numbers by multiplying the coefficients (numbers) and dividing the denominators (if possible). Here's the simplified expression:
-4 x 7 x -3 ÷ 5 x 4 ÷ 7 ÷ 15 simplifies to -4 x -3 ÷ 5 ÷ 15.
Step 3: Continue simplifying by performing the multiplication and division operations separately:
-4 x -3 = 12, and 5 ÷ 15 = 1/3.
Step 4: Finally, multiply the resulting numbers:
12 x 1/3 = 12/3 = 4.
Therefore, -4 x 7/5 x -3/4 ÷ 7/15 equals 4.