To solve:

$-\frac{5}{4} + \frac{3}{2}$

Step 1: Find a Common Denominator

The denominators are 4 and 2. The least common denominator (LCD) is 4. Convert all fractions to have this denominator:

$\frac{3}{2} = \frac{6}{4}$

Now the equation is:

$-\frac{5}{4} + \frac{6}{4}$

Step 2: Add the Fractions

Since the denominators are the same, simply add the numerators:

$\frac{-5 + 6}{4} = \frac{1}{4}$

Final Answer:

$\frac{1}{4}$

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Related Questions:

1. What is the sum of $\frac{7}{3} + \frac{2}{5}$?
2. How do you subtract fractions with different denominators?
3. What is $-\frac{3}{7} + \frac{5}{4}$?
4. How do you convert an improper fraction to a mixed number?
5. What is the rule for adding and subtracting negative fractions?

Tip:

Always find the least common denominator (LCD) before adding or subtracting fractions! 🚀