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)
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
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.
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
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.
To solve the expression: (-3/5)×(5/16)×(7/12)÷(-3/16)×(-5/7), we can follow these steps:
Step 1: Multiply the numerators together and the denominators together.
(-3 × 5 × 7) / (5 × 16 × 12) ÷ (-3 × 16 × -5).
Step 2: Simplify the expression by canceling out any common factors between the numerator and the denominator.
(-3 × 5 × 7) / (5 × 16 × 12) ÷ (-3 × 16 × -5)
(-3 × 5 × 7) / (5 × 16 × 12) ÷ (3 × 16 × 5)
Step 3: Multiply the factors together in the numerator and denominator.
(-3 × 5 × 7 × 3 × 16 × 5) / (5 × 16 × 12 × 3 × 16 × 5)
Step 4: Cancel out any common factors between the numerator and denominator.
(-3 × 5 × 7 × 3 × 16 × 5) / (5 × 16 × 12 × 3 × 16 × 5)
(7) / (12 × 16 × 16)
Step 5: Multiply the remaining factors together in the denominator.
(7) / (12 × 16 × 16)
(7) / (3072)
Therefore, the simplified value of the given expression is 7/3072.
Of course, I'd be happy to help you solve this problem step by step!
To begin, let's break it down and simplify the expression step by step. We'll follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right) – also known as PEMDAS.
1. First, let's take care of the multiplication and division using the properties of operations.
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
Multiplication is associative, meaning we can change the grouping of the numbers being multiplied without changing the result. So, we can group the numerators together and group the denominators together:
((-3) × (5) × (7)) / ((5) × (16) × (12) × (-3) × (-5) × (7) × (16))
2. Now, let's simplify the expression further by multiplying the numbers together.
(-3 × 5 × 7) / (5 × 16 × 12 × -3 × -5 × 7 × 16)
What remains is:
(-105) / (480 × -105 × 16)
3. Continuing, let's reduce the expression by canceling out any common factors.
The common factors we can cancel out are -105, as it appears in both the numerator and the denominator:
Canceling out -105 leaves us with:
1 / (480 × 16)
4. Now, let's multiply the remaining numbers:
1 / 7680
The final simplified result is:
1/7680
So, (−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7) simplifies to 1/7680.
Remember, it's always important to follow the order of operations and use the properties of operations to break down and simplify expressions to find the solution.