Use the properties of operations and rules for multiplying and dividing to solve (8-9)×(-3-4)÷{1-9)×(-4-5)÷(3-5)

Answer 1

First, let's simplify the expression step by step:

(8-9)×(-3-4)÷{1-9)×(-4-5)÷(3-5)

Simplifying the parentheses first:
(-1)×(-7)÷(-8)÷(-2)

Using the properties of operations and rules for multiplying and dividing:

Multiply the first two numbers: (-1)×(-7) = 7
Divide the result by the next number: 7÷(-8) = -7/8

Now, simplify the next part of the expression:
(-4-5)÷(3-5)

Simplifying inside the parentheses:
(-4-5)÷(-2)

Using the properties of operations and rules for multiplying and dividing:

Add the two numbers inside the parentheses: -4+(-5) = -9
Divide the result by the next number: -9÷(-2) = 9/2

Now, we have:

(-7/8)÷(9/2)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(-7/8) * (2/9)

Using the properties of operations and rules for multiplying and dividing:

Multiply the numerators: -7 * 2 = -14
Multiply the denominators: 8 * 9 = 72

So, the final answer is:

-14/72, which can be simplified to -7/36

Answer 2

Use the properties of operations and rules for multiplying and dividing to solve (-3-5)×(5-16)×(7-12)÷(-3-10)×(-5-7)

Answer 3

Let's simplify the expression step by step:

(-3-5)×(5-16)×(7-12)÷(-3-10)×(-5-7)

Simplifying the parentheses first:
(-8)×(-11)×(-5)÷(-13)×(-12)

Using the properties of operations and rules for multiplying and dividing:

Multiply the first three numbers: (-8)×(-11)×(-5) = 440
Divide the result by the next number: 440÷(-13) = -440/13

Now, simplify the next part of the expression:
(-3-10)×(-5-7)

Simplifying inside the parentheses:
(-13)×(-12)

Using the properties of operations and rules for multiplying and dividing:

Multiply the two numbers inside the parentheses: (-13)×(-12) = 156

Now, we have:

-440/13÷156

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

-440/13 * (1/156)

Using the properties of operations and rules for multiplying and dividing:

Multiply the numerators: (-440) * 1 = -440
Multiply the denominators: 13 * 156 = 2028

So, the final answer is:

-440/2028, which cannot be further simplified.