3/4x-2/3x=2/5
3/4 = 9/12
2/3 = 8/12
9/12x - 8/12x = 2/5
1/12x = 2/5
x = (2/5) / (1/12)
x = (2/5) * (12/1)
x = 24/5 = 4 4/5
3/4 = 9/12
2/3 = 8/12
9/12x - 8/12x = 2/5
1/12x = 2/5
x = (2/5) / (1/12)
x = (2/5) * (12/1)
x = 24/5 = 4 4/5
9.847
489.700
984.700
Now look at the problem. Can you decide which number is greater now?
Step 1: Find a common denominator for the fractions in the equation. In this case, the common denominator is 12 because it is divisible by both 4 and 3.
Step 2: Multiply both sides of the equation by the common denominator to eliminate the fractions. By doing this, the denominators will cancel out, leaving you with only whole numbers.
12 * ((3/4)x) - 12 * ((2/3)x) = 12 * (2/5)
Step 3: Simplify the equation by distributing the denominator across the expression.
(12/4)x - (12/3)x = (12/5)
Simplifying further, you get:
3x - 4x = 24/5
Step 4: Combine like terms.
(-1)x = 24/5
Simplifying further:
-x = 24/5
Step 5: Solve for x by dividing both sides of the equation by -1.
x = (24/5) / -1
Step 6: Simplify the right-hand side of the equation.
x = -24/5
Therefore, the solution to the equation (3/4)x - (2/3)x = 2/5 is x = -24/5.