Amalia and Brooklyn wanted to have a picnic with some friends. They brought some delicious food to share. Brooklyn brought \( 21 / 2 \) turkey sandwiches and Amalia brought \( 33 / 4 \) ham sandwiches. How many sandwiches do they have in all?

To find the total number of sandwiches Amalia and Brooklyn brought, you can add the fractions representing each type of sandwich. **Brooklyn's sandwiches:** \[ \frac{21}{2} \text{ turkey sandwiches} \] **Amalia's sandwiches:** \[ \frac{33}{4} \text{ ham sandwiches} \] **Step 1: Find a common denominator** The denominators are 2 and 4. The least common denominator (LCD) is 4. **Convert Brooklyn's sandwiches to have the denominator 4:** \[ \frac{21}{2} = \frac{21 \times 2}{2 \times 2} = \frac{42}{4} \] **Amalia's sandwiches already have the denominator 4:** \[ \frac{33}{4} \] **Step 2: Add the fractions** \[ \frac{42}{4} + \frac{33}{4} = \frac{42 + 33}{4} = \frac{75}{4} \] **Step 3: Simplify the fraction (optional)** \[ \frac{75}{4} = 18 \frac{3}{4} \] **Total sandwiches:** \[ \frac{75}{4} \text{ or } 18 \frac{3}{4} \text{ sandwiches} \] So, Amalia and Brooklyn have a total of **\( \frac{75}{4} \)** (which is **18 and \( \frac{3}{4} \)**) sandwiches in all.