2/3 x=1 1/2
x= 2 1/4, or 9/2
Correction:
2/3 x=1 1/2
x = (3/2) / (2/3)
x = (3/2) * (3/2)
x = 9/4 = 2 1/4
@Prvite -- I deleted three of your nonsense posts. Please post only legitimate questions -- not garbage. Nonsense posters are banned.
2x/3 = 1 1/2.
2x/3 = 3/2,
Multiply both sides by 6:
4x = 9,
X = 9/4 = 2 1/4.
To find the value of x in the equation 2/3 x = 1 1/2, we need to isolate x on one side of the equation. Here's how:
1. Start by converting the mixed number 1 1/2 into an improper fraction. To do this, multiply the whole number (1) by the denominator (2) and add the numerator (1). This gives us (1 * 2 + 1 = 3) 3/2.
2. Now, let's rewrite the equation with the improper fraction: 2/3x = 3/2.
3. To eliminate the fraction in front of x, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2. This gives us: (2/3x) * (3/2) = (3/2) * (3/2).
Simplifying both sides of the equation:
On the left side: (2/3x) * (3/2) = (2 * 3)/(3 * 2) * x = 6/6 * x = 1x = x.
On the right side: (3/2) * (3/2) = 9/4.
Therefore, the equation simplifies to: x = 9/4.
So, the value of x in the equation 2/3 x = 1 1/2 is 9/4.