To solve the expression \( \frac{5}{4} + \frac{3}{5} - \frac{9}{10} \), follow these steps:

1. **Find a common denominator**: The denominators are 4, 5, and 10. The least common denominator (LCD) is 20.
   
2. **Convert each fraction** to have the denominator of 20:
   \[
   \frac{5}{4} = \frac{5 \times 5}{4 \times 5} = \frac{25}{20}
   \]
   \[
   \frac{3}{5} = \frac{3 \times 4}{5 \times 4} = \frac{12}{20}
   \]
   \[
   \frac{9}{10} = \frac{9 \times 2}{10 \times 2} = \frac{18}{20}
   \]

3. **Add and subtract the fractions**:
   \[
   \frac{25}{20} + \frac{12}{20} - \frac{18}{20} = \frac{25 + 12 - 18}{20} = \frac{19}{20}
   \]

The result of the expression is:
\[
\frac{19}{20}
\]

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How do you find the least common denominator for a set of fractions?
2. What is the process for converting fractions to have a common denominator?
3. How can you simplify fractions after performing addition or subtraction?
4. What happens if you add or subtract fractions with different denominators without finding a common denominator?
5. How would you convert a fraction like \(\frac{19}{20}\) into a decimal?

**Tip:** Always double-check your final answer by simplifying the fractions to their lowest terms, if possible.

Learn how to solve the arithmetic expression 5/4 + 3/5 - 9/10 involving fractions with a step-by-step solution. This problem covers concepts such as finding a common denominator and performing arithmetic operations with fractions. Suitable for students in Grades 5-7.

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