The problem involves adding a whole number and a fraction. Let's solve it step by step.
Problem:
$$
2 + \frac{3}{4}
$$
Step 1: Rewrite the whole number as a fraction
The whole number \(2\) can be written as a fraction with a denominator of \(1\):
$$
2 = \frac{2}{1}
$$
So, the expression becomes:
$$
\frac{2}{1} + \frac{3}{4}
$$
Step 2: Find a common denominator
To add these fractions, we need a common denominator. The denominators are \(1\) and \(4\). The least common denominator (LCD) of \(1\) and \(4\) is \(4\).
Step 3: Convert each fraction to have the common denominator
- For \(\frac{2}{1}\), multiply both the numerator and the denominator by \(4\):
$$
\frac{2}{1} = \frac{2 \times 4}{1 \times 4} = \frac{8}{4}
$$
- The fraction \(\frac{3}{4}\) already has the denominator \(4\), so it remains unchanged:
$$
\frac{3}{4} = \frac{3}{4}
$$
Now, the expression is:
$$
\frac{8}{4} + \frac{3}{4}
$$
Step 4: Add the fractions
Since the denominators are the same, we can add the numerators directly:
$$
\frac{8}{4} + \frac{3}{4} = \frac{8 + 3}{4} = \frac{11}{4}
$$
Step 5: Simplify the result (if necessary)
The fraction \(\frac{11}{4}\) is an improper fraction. We can convert it to a mixed number if desired:
$$
\frac{11}{4} = 2 \frac{3}{4}
$$
Final Answer:
The sum of \(2 + \frac{3}{4}\) is:
$$
\boxed{\frac{11}{4}}
$$
If you prefer the mixed number form, it is:
$$
\boxed{2 \frac{3}{4}}
$$
Both forms are correct, but the boxed answer in the problem is typically the improper fraction form.
Parent Tip: Review the logic above to help your child master the concept of adding fractions with whole numbers.