Evaluate the expression for the given quantity. 3 3/2x - 51/3x, x = 2/5
3 3/2 ??
Make up your mind: mixed numbers or improper fractions?
mixed numbers
well, ok, I'll use what you wrote.
3 3/2 - 51/3 = 4 1/2 - 17 = -12 1/2
Now just multiply that by 2/5
so if i'm correct multiply -12 1/2 by 2/5?
= -5/1
(9/2 - 51/3)x = (27/6 - 102/6)2/5 = (-75/6)2/5 = -150/25 = -6.
To evaluate the expression 3 3/2x - 51/3x for the given value of x = 2/5, you need to substitute the value of x into the expression and perform the necessary calculations.
First, let's substitute the value of x into the expression:
3 * (3/2) * (2/5) - 51 * (1/(3 * 2/5))
Now, let's simplify the expression:
3 * (3/2) * (2/5) = 9/2 * 2/5 = 18/10
51 * (1/(3 * 2/5)) = 51 * (5/6) = 255/6
Now, let's subtract the two simplified expressions:
18/10 - 255/6
To subtract fractions, we need to find a common denominator, which is the least common multiple (LCM) of the denominators of the two fractions: 10 and 6. The LCM of 10 and 6 is 30.
Converting the fractions to have a denominator of 30:
(18/10) * (3/3) = 54/30
(255/6) * (5/5) = 1275/30
Now, subtracting the two fractions:
54/30 - 1275/30 = (54 - 1275)/30 = -1221/30
Therefore, the value of the expression 3 3/2x - 51/3x for the given value of x = 2/5 is -1221/30.