To solve \( 2 \frac{5}{6} + \frac{1}{4} \):

### Step 1: Convert the mixed number into an improper fraction.
\[
2 \frac{5}{6} = \frac{12}{6} + \frac{5}{6} = \frac{17}{6}
\]

### Step 2: Add the two fractions.
We need a common denominator between \( \frac{17}{6} \) and \( \frac{1}{4} \). The least common denominator (LCD) of 6 and 4 is 12.

- Convert \( \frac{17}{6} \) to have a denominator of 12:
\[
\frac{17}{6} = \frac{17 \times 2}{6 \times 2} = \frac{34}{12}
\]
- Convert \( \frac{1}{4} \) to have a denominator of 12:
\[
\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}
\]

### Step 3: Add the fractions.
\[
\frac{34}{12} + \frac{3}{12} = \frac{34 + 3}{12} = \frac{37}{12}
\]

### Step 4: Convert the improper fraction back to a mixed number.
\[
\frac{37}{12} = 3 \frac{1}{12}
\]

Thus, \( 2 \frac{5}{6} + \frac{1}{4} = 3 \frac{1}{12} \).

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you subtract mixed numbers?
2. How can you multiply mixed numbers?
3. What is the difference between an improper fraction and a mixed number?
4. How do you convert a mixed number to a decimal?
5. How do you simplify fractions?

**Tip**: Always look for the least common denominator when adding or subtracting fractions to simplify the process.

Learn how to solve the addition of mixed numbers and fractions with a detailed step-by-step solution. In this problem, we convert 2⅚ into an improper fraction and find a common denominator to add ¼, resulting in 3 1/12. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation