3/4x-2/3x=2/5

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

Which of the following numbers is the greatest? 98.47 9.847 489.7 984.7

98.470

9.847
489.700
984.700

Now look at the problem. Can you decide which number is greater now?

To solve the equation (3/4)x - (2/3)x = 2/5, follow these steps:

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.