The image illustrates the process of adding whole numbers to fractions, specifically showing how to handle proper and improper fractions. Let's break it down step by step:
---
1. Adding a Whole Number to a Proper Fraction
#### Problem:
$$
3 + \frac{3}{4}
$$
#### Solution:
- A proper fraction is a fraction where the numerator is less than the denominator.
- When adding a whole number to a proper fraction, you simply combine the whole number with the fraction as a mixed number.
$$
3 + \frac{3}{4} = 3\frac{3}{4}
$$
This result is already in its simplest form because the fraction part ($\frac{3}{4}$) is a proper fraction.
---
2. Adding a Whole Number to an Improper Fraction
#### Problem:
$$
3 + \frac{5}{4}
$$
#### Solution:
- An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
- To add a whole number to an improper fraction, first convert the improper fraction into a mixed number (if necessary), then combine it with the whole number.
Step 1: Convert the improper fraction $\frac{5}{4}$ into a mixed number.
- Divide the numerator by the denominator: $5 \div 4 = 1$ remainder $1$.
- This means $\frac{5}{4} = 1\frac{1}{4}$.
Step 2: Add the whole number $3$ to the mixed number $1\frac{1}{4}$.
- Combine the whole number parts: $3 + 1 = 4$.
- The fractional part remains $\frac{1}{4}$.
Thus:
$$
3 + \frac{5}{4} = 4\frac{1}{4}
$$
---
Summary of Results
1.
Proper Fraction:
$$
3 + \frac{3}{4} = 3\frac{3}{4}
$$
2.
Improper Fraction:
$$
3 + \frac{5}{4} = 4\frac{1}{4}
$$
---
Final Answer
$$
\boxed{3\frac{3}{4} \text{ and } 4\frac{1}{4}}
$$
Parent Tip: Review the logic above to help your child master the concept of adding fractions with whole numbers.
