$$ 2 \frac{1}{2} $$ $$ +5 \frac{1}{4} $$ $$ =\square $$ (Simplify your answer. Type an integer, fraction, or a mixed number.)

Question

UpStudy AI · Accepted Answer

$$ 2 \frac{1}{2} + 5 \frac{1}{4} = 7 \frac{3}{4} $$

**Explanation:**

1. Convert each mixed number to an improper fraction:
   - $$ 2 \frac{1}{2} = \frac{5}{2} $$
   - $$ 5 \frac{1}{4} = \frac{21}{4} $$

2. Find a common denominator (which is 4 in this case):
   - $$ \frac{5}{2} = \frac{10}{4} $$

3. Add the fractions:
   - $$ \frac{10}{4} + \frac{21}{4} = \frac{31}{4} $$

4. Convert back to a mixed number:
   - $$ \frac{31}{4} = 7 \frac{3}{4} $$

So, the simplified answer is $$ 7 \frac{3}{4} $$.
$$ 7 \frac{3}{4} $$

(Simplify your answer. Type an integer, fraction, or a mixed number.)