 Camille is trying to fit two boxes into the trunk of her car. One box is 3/4 of a foot tall and the other is 11/12 of a foot tall. Stacked on top of each other, what is the combined height of the two boxes?

Write your answer as a fraction or as a whole or mixed number.

 feet

To find the combined height of the two boxes, we need to add their heights:

- The first box is \( \frac{3}{4} \) feet tall.
- The second box is \( \frac{11}{12} \) feet tall.

To add these fractions, we need to find a common denominator. The least common denominator (LCD) of 4 and 12 is 12.

### Step 1: Convert \( \frac{3}{4} \) to have a denominator of 12
\[
\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}
\]

### Step 2: Add the two fractions
Now, we add \( \frac{9}{12} \) and \( \frac{11}{12} \):
\[
\frac{9}{12} + \frac{11}{12} = \frac{9 + 11}{12} = \frac{20}{12}
\]

### Step 3: Simplify the fraction
\[
\frac{20}{12} = \frac{5}{3}
\]
Since \( \frac{5}{3} \) is an improper fraction, we can convert it to a mixed number:
\[
\frac{5}{3} = 1 \frac{2}{3}
\]

Thus, the combined height of the two boxes is **1** \( \frac{2}{3} \) feet.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the height difference between the two boxes?
2. How do you find the least common denominator for two fractions?
3. Can the combined height be expressed as a decimal?
4. How would the combined height change if the second box was 1 foot tall instead?
5. How do you convert improper fractions to mixed numbers?

**Tip:** When adding fractions, always look for the least common denominator to make the calculation easier!

Camille is trying to fit two boxes into the trunk of her car. One box is 3/4 of a foot tall and the other is 11/12 of a foot tall. Stacked on top of each other, what is the combined height of the two boxes? Write your answer as a fraction or as a whole or mixed number.

Learn how to add fractions with different denominators by calculating the combined height of two boxes, one measuring 3/4 foot tall and the other 11/12 foot tall. This problem covers finding the least common denominator and converting improper fractions to mixed numbers. Suitable for students in Grades 5-7.

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