The question asks how long Alana spent on the experiment altogether, given that:

• She spent 3/4 hour preparing for the experiment.
• She spent 3/5 hour doing the experiment.

To find out how long Alana spent altogether, we need to add these two fractions:

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

Step 1: Find a common denominator

The denominators are 4 and 5. The least common denominator (LCD) is 20.

$\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}$ $\frac{3}{5} = \frac{3 \times 4}{5 \times 4} = \frac{12}{20}$

Step 2: Add the two fractions

$\frac{15}{20} + \frac{12}{20} = \frac{27}{20}$

Step 3: Simplify the result

$\frac{27}{20} = 1 \frac{7}{20}$

So, Alana spent 1 hour and 7/20 of an hour on the experiment altogether.

Would you like further details or have any questions?

Here are 5 related questions for further exploration:

1. How do you convert an improper fraction into a mixed number?
2. What is the least common denominator, and why is it useful?
3. How would you add fractions with different denominators?
4. Can you subtract fractions in a similar way?
5. How long is 7/20 of an hour in minutes?

Tip: When adding fractions, always ensure the denominators are the same before performing the addition.