To solve the expression \( 2 + 4 + 1 + \frac{1}{2} + \frac{1}{4} \), let's add the whole numbers first and then the fractions:

1. **Add the whole numbers:**
   \[
   2 + 4 + 1 = 7
   \]

2. **Add the fractions:**
   \[
   \frac{1}{2} + \frac{1}{4}
   \]

   To add these, we need a common denominator. The least common denominator of 2 and 4 is 4. Convert \(\frac{1}{2}\) to a fraction with 4 as the denominator:

   \[
   \frac{1}{2} = \frac{2}{4}
   \]

   Now, add the fractions:

   \[
   \frac{2}{4} + \frac{1}{4} = \frac{3}{4}
   \]

3. **Combine the sum of whole numbers and fractions:**
   \[
   7 + \frac{3}{4} = 7\frac{3}{4}
   \]

So, the final answer is:

\[
\boxed{7\frac{3}{4}}
\]

Would you like to go over the steps in more detail or have any questions? Here are some related questions you might explore:

1. How do you find a common denominator for adding fractions?
2. What is the process for converting mixed numbers into improper fractions?
3. How do you subtract fractions with different denominators?
4. How can you add decimals instead of fractions for calculations?
5. What are some methods to simplify fractions before adding?

**Tip:** Always simplify fractions first before adding to make calculations easier.

Learn how to add 2, 4, 1, 1/2, and 1/4 with detailed step-by-step instructions. This problem involves basic arithmetic and fractions, suitable for students in Grades 4-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation