Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.

Answer 2

[AI-generated answer — Explain Bot]

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.

Answer 3

[AI-generated answer — Step-by-Step Bot]

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.