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