Let's break down the expression $4 + \frac{1}{6}$ step by step.

Step 1: Understand the components of the expression

You have two terms:

• $4$, which is a whole number
• $\frac{1}{6}$, which is a fraction

Step 2: Convert $4$ into a fraction

To add fractions, both terms need to have the same denominator. So, convert $4$ into a fraction with a denominator of $6$: $4 = \frac{4 \times 6}{6} = \frac{24}{6}$ Now, you have: $4 = \frac{24}{6} \quad \text{and} \quad \frac{1}{6}$

Step 3: Add the fractions

Now that both terms have the same denominator, you can add them directly: $\frac{24}{6} + \frac{1}{6} = \frac{24 + 1}{6} = \frac{25}{6}$

Step 4: Final Answer

The sum is $\frac{25}{6}$. If you want to express this as a mixed number, divide $25$ by $6$: $25 \div 6 = 4 \text{ remainder } 1$ So, $\frac{25}{6}$ is equivalent to $4 \frac{1}{6}$.

Final Answer:

$4 + \frac{1}{6} = \frac{25}{6} \text{ or } 4 \frac{1}{6}$

Would you like further details or clarification on any part of the process?

Here are 5 related questions to explore:

1. How do you subtract fractions with different denominators?
2. What is the process for converting a fraction into a decimal?
3. Can you add mixed numbers directly without converting them to improper fractions?
4. How would you handle adding negative fractions to a whole number?
5. How do you simplify a fraction like $\frac{25}{6}$?

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