evaluate the expression 9mn/-2p when m=1/3, n=-2, and p=5
To evaluate the expression 9mn/-2p when m=1/3, n=-2, and p=5, we substitute these values into the expression:
9mn/-2p
= 9(1/3)(-2)/(-2)(5) (Substituting m=1/3, n=-2, and p=5)
= 3(-2)/-10
= -6/-10
= 6/10
= 3/5
Therefore, when m=1/3, n=-2, and p=5, the value of the expression is 3/5.
To evaluate the expression 9mn/-2p when m = 1/3, n = -2, and p = 5, follow these steps:
Step 1: Substitute the given values of m, n, and p into the expression.
9mn/-2p = 9(1/3)(-2)/-2(5)
= (9/3)(-2)/(-2)(5)
= (3)(-2)/(-2)(5)
= -6/(-10)
Step 2: Simplify the expression by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2.
-6/(-10) = (-6/2)/(-10/2)
= -3/(-5)
Step 3: Multiply the fraction by -1/-1 to change the sign of both the numerator and denominator, which gives the final answer.
-3/(-5) = (3/5)
Therefore, the expression 9mn/-2p, when m = 1/3, n = -2, and p = 5, simplifies to 3/5.
To evaluate the expression 9mn/-2p when m=1/3, n=-2, and p=5, you need to substitute the given values into the expression and perform the necessary calculations step by step.
Let's start by substituting the values:
9mn/-2p = 9 * (1/3) * (-2) / (-2 * 5)
Step 1: Simplify the numerator:
9 * (1/3) * (-2) = 3 * (-2) = -6
Step 2: Simplify the denominator:
-2 * 5 = -10
So, the expression becomes:
-6 / -10
Finally, divide the numerator by the denominator:
-6 / -10 = 3/5
Therefore, when m=1/3, n=-2, and p=5, the expression 9mn/-2p evaluates to 3/5.