Use the properties of operations and rules for multiplying and dividing signed numbers to solved: -4*7/5*-3/4÷7/15

To solve the expression -4*7/5*-3/4÷7/15, we follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, we resolve all the multiplications and divisions:

-4 * 7 = -28
-28 / 5 = -5.6
-3 / 4 = -0.75
7 / 15 = 0.4667...

Now, we divide -5.6 by -0.75 and multiply the result by 0.4667:

(-5.6 ÷ -0.75) * 0.4667 = 7.466666667

Therefore, the expression -4*7/5*-3/4÷7/15 equals 7.466666667.

To solve the expression -4*7/5*-3/4÷7/15, you need to apply the properties of operations and the rules for multiplying and dividing signed numbers.

Step 1: Start by multiplying the numbers from left to right.

-4 * 7 = -28

Step 2: Divide the result by 5.

-28 / 5 = -5.6

Step 3: Multiply the obtained result by -3.

-5.6 * -3 = 16.8

Step 4: Divide the result by 4.

16.8 / 4 = 4.2

Step 5: Finally, divide the result by 7/15.

To divide by a fraction, you need to multiply by its reciprocal, which means flipping the numerator and denominator.

4.2 * (15/7) = 42/7 = 6

Therefore, the solution to the expression -4*7/5*-3/4÷7/15 is 6.

To solve the expression -4 * 7/5 * -3/4 ÷ 7/15, we will follow the order of operations, which is parentheses, multiplication/division (from left to right), and addition/subtraction (from left to right).

First, we will simplify the expression using the properties of operations and follow the rules for multiplying and dividing signed numbers:

-4 * 7/5 * -3/4 ÷ 7/15

Multiplying the numbers:

= (-4 * 7 * -3 * 7) / (5 * 4 * 15)

= 84 / (20 * 15)

= 84 / 300

Reducing the fraction:

= 14 / 50

= 7 / 25

So, the expression -4 * 7/5 * -3/4 ÷ 7/15 simplifies to 7/25.