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
negative Start Fraction 1 over 6 End Fraction
16
Start Fraction 1 over 6 End Fraction
−23
To solve this expression, we need to apply the properties of operations and rules for multiplying and dividing.
Starting with the multiplication operation, we have:
(-2) × (15) = -30
Moving on to the division operation, we have:
-30 ÷ (23) = -1.3043478260869565
Now, multiplying by -56:
-1.3043478260869565 × (-56) = 73.04347826086957
Finally, dividing by 34:
73.04347826086957 ÷ 34 = 2.1477272727272725
Therefore, the solution is approximately 2.1477272727272725.
2.1477272727272725 Simplified
The solution can be simplified as 2.1477272727272725 is already in decimal form. There are no further simplifications that can be done.
In fraction
To write 2.1477272727272725 as a fraction, we can follow these steps:
Step 1: Let x = 2.1477272727272725.
Step 2: Multiply x by 10000000000000000000 to remove the decimal places:
x × 10000000000000000000 = 21477272727272725
Step 3: Write the result as a fraction with the divisor as 10000000000000000000:
21477272727272725/10000000000000000000
This fraction is already simplified as there are no common factors that can be divided between the numerator and the denominator. Therefore, the simplified fraction is:
21477272727272725/10000000000000000000
2/3 -1/6 1/6 or -2/3
I apologize for the confusion in my previous response. Let's solve the expression again correctly:
To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), we can apply the properties of operations and simplify step by step:
First, multiply (-2) and (15):
(-2) × (15) = -30
Next, divide (-30) by (23):
-30 ÷ 23 ≈ -1.3043 (rounded to four decimal places)
Then, multiply the result (-1.3043) by (-56):
-1.3043 × (-56) ≈ 73.0435 (rounded to four decimal places)
Lastly, divide the result (73.0435) by (34):
73.0435 ÷ 34 ≈ 2.1507 (rounded to four decimal places)
Therefore, the solution to the expression (-2) × (15) ÷ (23) × (-56) ÷ (34) is approximately 2.1507.
(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)
To solve the expression (-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4), we can simplify step by step:
First, multiply (-2) by (1/5):
(-2) × (1/5) = -2/5
Next, divide (-2/5) by (2/3):
(-2/5) ÷ (2/3) = -6/10
Then, multiply the result (-6/10) by (-5/6):
(-6/10) × (-5/6) = 30/60
Finally, divide the result (30/60) by (3/4):
(30/60) ÷ (3/4) = 40/60 = 2/3
Therefore, the solution to the expression (-2) × (1/5) ÷ (2/3) × (-5/6) ÷ (3/4) is 2/3.
Use the properties of operations and rules for multiplying and dividing to solve:
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
1,2258
Start Fraction 1,225 over 8 End Fraction
8
8
−1,2258
negative Start Fraction 1,225 over 8 End Fraction
−8
negative 8