2/3 over 10 equals 1.8/r solve for r.

(2/3)/10 = 1.8r.
First, invert and multiply the denominator; i.e.,10.
(2/3)*(1/10) = 1.8/r
2/30 = 1.8/r
Now cross multiply.
2r = 30*1.8
2r = 54
Now divide both sides by 2
2r/2 = 54/2
r = 27
check my thinking. check my work.

Your thinking and work are correct! Here's a step-by-step breakdown of how you solved the equation:

1. Start with the equation: (2/3)/10 = 1.8/r
2. Invert the denominator 10: (2/3) * (1/10) = 1.8/r
3. Simplify the expression: 2/30 = 1.8/r
4. Cross multiply: 2r = 30 * 1.8
5. Calculate the right side of the equation: 2r = 54
6. Divide both sides by 2 to isolate the variable: 2r/2 = 54/2
7. Simplify the equation: r = 27

By following these steps, you correctly solved for the value of r, which is 27.