Use the properties of operations and rules for multiplying and dividing to solve: (−2)×(15)÷(23)×(−56)÷(34)

11 answers

To solve this expression, we'll use the properties of operations and rules for multiplying and dividing.

First, let's combine the multiplication and division in the expression from left to right:

−2 × 15 ÷ 23 × −56 ÷ 34

Multiply the first two numbers:

= −30 ÷ 23 × −56 ÷ 34

Divide the result by 23:

= (−30 ÷ 23) × −56 ÷ 34

To simplify, we can reduce the fractions before proceeding further.

−30 ÷ 23 can be written as a fraction:
= (-30 / 1) ÷ (23 / 1)

Now we can apply the rule for dividing fractions:
= (-30 / 1) × (1 / 23)
= -30 / 23

Substitute the value of -30 / 23 back into the expression:

= (-30 / 23) × −56 ÷ 34

Now multiply the two numbers:

= (−30 / 23) × (−56 / 34)

Again, we'll apply the rule for dividing fractions:

= (-30 × -56) / (23 × 34)
= 1680 / 782

This fraction cannot be simplified further. Thus, the result is:

= 840 / 391
As a Fraction
The expression (-2)×(15)÷(23)×(-56)÷(34) can be written as the fraction 840/391.
But the Answers are 2/3 1/6 -2/3 -1/6
I apologize for the incorrect response.

Let's go through the expression again.

(-2) × (15) ÷ (23) × (-56) ÷ (34)

We'll proceed step by step.

First, let's perform the multiplication:

(-2) × (15) = -30

Next, let's perform the divisions from left to right:

-30 ÷ 23 × -56 ÷ 34

-30 ÷ 23 can be written as a fraction:
= (-30 / 1) ÷ (23 / 1)

Now we can apply the rule for dividing fractions:
= (-30 / 1) ÷ (23 / 1)
= (-30 / 1) × (1 / 23)
= -30 / 23

Substitute the value of -30 / 23 back into the expression:

= (-30 / 23) × -56 ÷ 34

Let's perform the next division:

-56 ÷ 34 can be written as a fraction:
= (-56 / 1) ÷ (34 / 1)

Applying the rule for dividing fractions:
= (-56 / 1) ÷ (34 / 1)
= (-56 / 1) × (1 / 34)
= -56 / 34
= -28 / 17

Now we substitute the value of -28 / 17 back into the expression:

= (-30 / 23) × (-28 / 17)

To multiply fractions, we multiply the numerators and denominators:
= (-30 * -28) / (23 * 17)
= 840 / 391

So the answer is 840/391.
Use the properties of operations and rules for multiplying and dividing to solve: (−2)×(15)÷(23)×(−56)÷(34) (1 point) Responses 23 Start Fraction 2 over 3 End Fraction 16 Start Fraction 1 over 6 End Fraction −23 negative Start Fraction 2 over 3 End Fraction −16
I apologize for the previous incorrect response.

Let's solve the expression step by step using the properties of operations and rules for multiplying and dividing:

(-2) × (15) ÷ (23) × (-56) ÷ (34)

First, let's start with the multiplication:
(-2) × (15) = -30

Next, let's perform the divisions from left to right:

-30 ÷ 23 × -56 ÷ 34

To divide, we can write the expressions as fractions:

= (-30 / 1) ÷ (23 / 1) × (-56 / 1) ÷ (34 / 1)

Now let's apply the rule for dividing fractions:

= (-30 / 1) × (1 / 23) × (-56 / 1) × (1 / 34)

We can simplify the expression further:

= (-30 * 1 * -56 * 1) / (1 * 23 * 1 * 34)

= 1680 / (782)

Now let's simplify this fraction, if possible:

= 840 / 391

The expression (-2) × (15) ÷ (23) × (-56) ÷ (34) simplifies to 840/391.
Oi wrong mate
I apologize for the confusion. Let's go through the expression again:

(-2) × (15) ÷ (23) × (-56) ÷ (34)

First, let's perform the multiplication:

(-2) × (15) = -30

Next, let's perform the divisions from left to right:

-30 ÷ 23 × -56 ÷ 34

To divide, we can write the expressions as fractions:

= (-30 / 1) ÷ (23 / 1) × (-56 / 1) ÷ (34 / 1)

Now let's apply the rule for dividing fractions:

= (-30 / 1) × (1 / 23) × (-56 / 1) × (1 / 34)

Now let's simplify the fractions individually:

-30 / 1 = -30
1 / 23 = 1/23
-56 / 1 = -56
1 / 34 = 1/34

Now let's multiply the fractions together:

(-30) × (1/23) × (-56) × (1/34)

To multiply fractions, we multiply the numerators and denominators:

=(-30 × -56) / (23 × 34)

= 1680 / 782

This fraction, 1680/782, cannot be simplified further.

So the answer to the expression (-2) × (15) ÷ (23) × (-56) ÷ (34) is 1680/782.
Use the properties of operations and rules for multiplying and dividing to solve: (9)÷(54)×(79)×(−5)÷(72)
To solve this expression, we'll use the properties of operations and rules for multiplying and dividing.

First, let's perform the divisions from left to right:

(9) ÷ (54) × (79) × (-5) ÷ (72)

To divide, we can write the expressions as fractions:

= (9 / 1) ÷ (54 / 1) × (79 / 1) × (-5 / 1) ÷ (72 / 1)

Now let's apply the rule for dividing fractions:
= (9 / 1) × (1 / 54) × (79 / 1) × (-5 / 1) × (1 / 72)

Now let's simplify the fractions individually:

9 / 1 = 9
1 / 54 = 1/54
79 / 1 = 79
-5 / 1 = -5
1 / 72 = 1/72

Now let's multiply the fractions together:

9 × (1/54) × 79 × (-5) × (1/72)

To multiply fractions, we multiply the numerators and denominators:

= (9 × 1 × 79 × -5 × 1) / (54 × 1 × 1 × 72)

= - 2835 / 3888

So the answer to the expression (9) ÷ (54) × (79) × (-5) ÷ (72) is -2835/3888.