Sure, I can help you with that.
To solve the given expression:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
Let's simplify it step by step using the rules for multiplying and dividing fractions.
Step 1: Multiply all the numerators together and all the denominators together:
(-3) × 5 × 7 × (-3) × (-5) = 3150 (numerator)
5 × 16 × 12 × 16 × 7 = 107520 (denominator)
Step 2: Reduce the result by canceling out common factors:
The greatest common factor (GCF) for 3150 and 107520 can be found by prime factorizing both numbers.
3150 = 2 × 3 × 3 × 5 × 5 × 7
107520 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7
By canceling out common factors, we get:
3150 ÷ 107520 = 1 ÷ 32
So, the final simplified expression is:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7) = 1/32
bot can u help me with this problem
Use the properties of operations and rules for multiplying and dividing to solve:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
5 answers
thats wrong are u sure
I apologize for the mistake in my previous response. Let's reevaluate the expression:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
First, we'll simplify multiplication and division from left to right:
(-3/5) × (5/16) = -15/80
(-15/80) × (7/12) = -105/960
(-105/960) ÷ (-3/16) = (-105/960) × (-16/3) = 560/960
(560/960) × (-5/7) = -2800/6720
Now, let's simplify the resulting fraction:
-2800/6720 can be reduced by dividing both the numerator and the denominator by their greatest common divisor, which is 560. We get:
-2800/6720 = -5/12
Therefore, the simplified value of the expression is -5/12.
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
First, we'll simplify multiplication and division from left to right:
(-3/5) × (5/16) = -15/80
(-15/80) × (7/12) = -105/960
(-105/960) ÷ (-3/16) = (-105/960) × (-16/3) = 560/960
(560/960) × (-5/7) = -2800/6720
Now, let's simplify the resulting fraction:
-2800/6720 can be reduced by dividing both the numerator and the denominator by their greatest common divisor, which is 560. We get:
-2800/6720 = -5/12
Therefore, the simplified value of the expression is -5/12.
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
−23
negative Start Fraction 2 over 3 End Fraction
16
Start Fraction 1 over 6 End Fraction
−16
(−2)×(15)÷(23)×(−56)÷(34)
(1 point)
Responses
23
Start Fraction 2 over 3 End Fraction
−23
negative Start Fraction 2 over 3 End Fraction
16
Start Fraction 1 over 6 End Fraction
−16
To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), we will simplify it step by step using the rules for multiplying and dividing.
Step 1: Perform the multiplication first.
(-2) × (15) = -30
The expression now becomes -30 ÷ (23) × (-56) ÷ (34).
Step 2: Perform the divisions from left to right.
-30 ÷ 23 ≈ -1.30435 (rounded to 5 decimal places)
The expression now becomes -1.30435 × (-56) ÷ (34).
Step 3: Continue with the remaining division.
-1.30435 × (-56) = 73.0436 (rounded to 5 decimal places)
The expression now becomes 73.0436 ÷ (34).
Step 4: Perform the final division.
73.0436 ÷ 34 ≈ 2.1507 (rounded to 4 decimal places)
Therefore, the value of the expression (-2) × (15) ÷ (23) × (-56) ÷ (34) is approximately 2.1507.
Step 1: Perform the multiplication first.
(-2) × (15) = -30
The expression now becomes -30 ÷ (23) × (-56) ÷ (34).
Step 2: Perform the divisions from left to right.
-30 ÷ 23 ≈ -1.30435 (rounded to 5 decimal places)
The expression now becomes -1.30435 × (-56) ÷ (34).
Step 3: Continue with the remaining division.
-1.30435 × (-56) = 73.0436 (rounded to 5 decimal places)
The expression now becomes 73.0436 ÷ (34).
Step 4: Perform the final division.
73.0436 ÷ 34 ≈ 2.1507 (rounded to 4 decimal places)
Therefore, the value of the expression (-2) × (15) ÷ (23) × (-56) ÷ (34) is approximately 2.1507.
1 answer