The problem in the image states:

Leila spent $\frac{3}{4}$ of an hour completing her homework and $\frac{1}{2}$ of an hour studying for her geography quiz. The task is to determine how much time she spent in total.

Step 1: Add the fractions

To combine $\frac{3}{4}$ and $\frac{1}{2}$, we need to find a common denominator.

The least common denominator (LCD) of 4 and 2 is 4. We rewrite $\frac{1}{2}$ with the denominator 4: $\frac{1}{2} = \frac{2}{4}$

Step 2: Perform the addition

Now, add the fractions: $\frac{3}{4} + \frac{2}{4} = \frac{5}{4}$

Step 3: Simplify if necessary

The result $\frac{5}{4}$ is an improper fraction. We can convert it to a mixed number: $\frac{5}{4} = 1 \frac{1}{4}$

Thus, Leila spent $1 \frac{1}{4}$ hours in total, or 1 hour and 15 minutes.

Final Answer:

Leila spent $1 \frac{1}{4}$ hours or 1 hour and 15 minutes completing her homework and studying combined.

Would you like further details or have any questions?

Here are five related questions for further practice:

1. If Leila spent $\frac{3}{5}$ of an hour on math and $\frac{4}{5}$ of an hour on science, how much time did she spend in total?
2. How much time is $\frac{7}{8}$ of an hour in minutes?
3. If Leila spends $1 \frac{1}{4}$ hours daily on homework, how many hours will she spend in 5 days?
4. How would you subtract $\frac{2}{3}$ from $\frac{5}{6}$?
5. Leila spent $\frac{1}{3}$ of an hour reading and $\frac{2}{3}$ of an hour exercising. How much time did she spend altogether?

Tip: Always ensure the denominators of fractions are the same before adding or subtracting them!