Use the properties of operations and rules for multiplying and dividing to solve:
(-3) : (4) × (7) × (-6) = (7
To solve the equation (-3) : (4) × (7) × (-6) = (7), we need to apply the properties of operations and rules for multiplying and dividing.
First, let's simplify the expression:
(-3) : (4) × (7) × (-6)
To divide, we can multiply by the reciprocal of the divisor:
(-3) * (1/4) × (7) × (-6)
To multiply, we can multiply all the numbers together:
(-3/1) * (1/4) * (7) * (-6)
Since any number multiplied by 1/1 is itself, we can simplify further:
( -3 * 1 * 1 * 7 * -6 ) / (1 * 4)
Next, let's evaluate the multiplication:
( -3 * 1 * 7 * -6 ) / 4 = (-3 * -42) / 4
Multiplying -3 and -42 gives us 126:
126 / 4
Finally, dividing 126 by 4 gives us 31.5:
31.5
Therefore, the solution to the equation (-3) : (4) × (7) × (-6) = (7) is 31.5.