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 simplify each fraction and then use the properties of multiplication and division.
First, simplify each fraction:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
= (-3 * 5 * 7) / (5 * 16 * 12) / (-3 * 16 * -5 * 7)
Next, apply the properties of multiplication and division:
= (-3/3) * (5/5) * (7/7) * (7/16) * (16/12) * (5/5)
= -1 * 1 * 1 * 7/16 * 4/3 * 1
= -7/16 * 4/3
= (-7 * 4) / (16 * 3)
= -28/48
= -7/12
Therefore, the solution is -7/12.
Wrong
To solve the given expression using the properties of operations and rules for multiplying and dividing, follow these steps:
Step 1: Simplify each fraction individually:
-3/5 = -3 * 1/5 = -3/5
5/16 = 5/16
7/12 = 7/12
-3/16 = -3 * 1/16 = -3/16
-5/7 = -5/7
Step 2: Multiply all the fractions together:
(-3/5) * (5/16) * (7/12) * (-3/16) * (-5/7)
Multiplying the numerators together and the denominators together, we get:
(-3 * 5 * 7 * -3 * -5) / (5 * 16 * 12 * 16 * 7)
Step 3: Simplify the numerator and denominator further:
(-3 * 5 * 7 * -3 * -5) = 315 * 9 = 2835
(5 * 16 * 12 * 16 * 7) = 5 * 2 * 2 * 2 * 2 * 2 * 3 * 7 = 16,800
So the expression simplifies to:
2835 / 16,800
To solve the expression:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7), we can use the properties of operations and rules for multiplying and dividing.
Step 1: Simplify the numerator and denominator separately.
Multiply the numerators and multiply the denominators:
(-3 * 5 * 7) / (5 * 16 * 12 * -3 * -5 * 7)
(-105) / (201600)
Step 2: Simplify further by dividing the numerator by the denominator.
(-105) ÷ (201600) = -0.0005208333333
So, the result of the given expression is -0.0005208333333.