The problem in the image asks to combine like terms to create an equivalent expression, which contains the following terms:

$\frac{9}{10}m + \frac{3}{5} - \frac{8}{10}m$

Step-by-step solution:

1. Identify like terms:

   • The terms involving $m$ are $\frac{9}{10}m$ and $-\frac{8}{10}m$.
   • The term $\frac{3}{5}$ does not have $m$, so it stays as it is.

2. Combine the like terms:

   • For the $m$-terms: $\frac{9}{10}m - \frac{8}{10}m = \frac{1}{10}m$
   • The constant term $\frac{3}{5}$ remains unchanged.

3. Final expression:

   • The equivalent expression after combining like terms is: $\frac{1}{10}m + \frac{3}{5}$

Would you like further details or have any questions about this problem?

Here are some related questions to expand your understanding:

1. How do you simplify fractions when combining like terms?
2. What happens if the coefficients were whole numbers instead of fractions?
3. How would you solve if you were asked to factor this expression?
4. Can you apply this method to terms with different variables?
5. How would you graph this expression on a coordinate plane?

Tip: Always make sure that the fractions you are combining have the same denominator before adding or subtracting them!