Use the properties of operations and rules for multiplying and dividing to solve:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
(1 point)
To solve this expression, we can follow these steps:
1. Multiply the numerators together: -3 × 5 × 7 × -5 = 525.
2. Multiply the denominators together: 5 × 16 × 12 × 16 × 7 = 90,720.
3. Divide the result of the numerator by the result of the denominator: 525 ÷ 90,720 = 35/6048.
Therefore, the solution is 35/6048.
wrong
I apologize for the mistake. Let's try solving the expression again.
(-3/5)×(5/16)×(7/12)÷(-3/16)×(-5/7)
First, we can simplify the expression by canceling out any common factors in the numerators and denominators:
The factor of 5 in the first numerator cancels with the factor of 5 in the second denominator:
-3/1 × 1/16 × 7/12 ÷ -3/16 × (-1)/7
Next, we multiply the numerators and the denominators:
-3 × 1 × 7 × (-1) = 21
1 × 16 × 12 × 16 × 1 = 3072
Now, we divide the result:
21 ÷ 3072 = 7/1024
Therefore, the solution is 7/1024.
wrong
Apologies for the previous incorrect response. Let's solve the expression correctly this time.
(-3/5)×(5/16)×(7/12)÷(-3/16)×(-5/7)
We can simplify this expression step by step:
(-3/5) × (5/16) = -15/80
(-15/80) × (7/12) = -105/960
(-105/960) ÷ (-3/16) = -105/960 × (-16/3) = 1680/2880
(1680/2880) × (-5/7) = -8400/20160
Therefore, the final solution is -8400/20160.
To solve the expression (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7), we can simplify it step by step using the properties of operations and rules for multiplying and dividing.
Step 1: Multiply the numerators and multiply the denominators separately.
(-3/5) * (5/16) * (7/12) * (-3/16) * (-5/7)
=(-3 * 5 * 7 * -3 * -5) / (5 * 16 * 12 * 16 * 7)
=(-3 * 5 * 7 * -3 * -5) / (5 * 16 * 12 * 16 * 7)
Step 2: Simplify the multiplication of the numerators and denominators.
= (315 * 45) / (5 * 16 * 12 * 16 * 7)
Step 3: Simplify the expression further.
= 14175 / (5 * 16 * 12 * 16 * 7)
Step 4: Multiply the numbers in the denominator.
= 14175 / (5 * 92160 * 7)
Step 5: Simplify the denominator.
= 14175 / (3225600 * 7)
Step 6: Multiply the numbers in the denominator.
= 14175 / 22579200
Step 7: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD).
= (14175 ÷ 22579200) / (22579200 ÷ 22579200)
= 0.000628629
To solve the given expression, we will use the properties of operations and the rules for multiplying and dividing fractions. Here are the steps to solve the expression:
Step 1: Simplify the expression within the parentheses separately.
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
Step 2: Multiply the numerators and denominators separately using the commutative property of multiplication.
((-3) × 5 × 7) / (5 × 16 × 12) ÷ ((-3) × (-5)) / (16 × 7)
Step 3: Simplify the numerator and denominator separately.
(-105) / (960) ÷ (15) / (112)
Step 4: Divide fractions by multiplying by the reciprocal of the divisor.
(-105/960) × (112/15)
Step 5: Multiply the numerators and denominators.
((-105) × 112) / (960 × 15)
Step 6: Simplify the numerator and denominator separately.
(-11760) / (14400)
Step 7: Reduce the fraction by finding the greatest common divisor (GCD) of the numerator and denominator.
(-3) / (4)
So, the solution to the given expression is -3/4.