Show me example of operations in fractions

Operations with fractions involve addition, subtraction, multiplication, and division. Here are examples of each operation:

### 1. **Addition of Fractions**
To add fractions, they must have the same denominator.

Example: 
\[
\frac{2}{5} + \frac{3}{5} = \frac{2+3}{5} = \frac{5}{5} = 1
\]

If the denominators are different, find the least common denominator (LCD) and then add.

Example:
\[
\frac{1}{4} + \frac{1}{6}
\]
The LCD of 4 and 6 is 12.
\[
\frac{1 \times 3}{4 \times 3} + \frac{1 \times 2}{6 \times 2} = \frac{3}{12} + \frac{2}{12} = \frac{5}{12}
\]

### 2. **Subtraction of Fractions**
Subtraction is similar to addition; the fractions must have the same denominator.

Example:
\[
\frac{7}{8} - \frac{3}{8} = \frac{7-3}{8} = \frac{4}{8} = \frac{1}{2}
\]

If the denominators are different, find the LCD and subtract.

Example:
\[
\frac{5}{9} - \frac{1}{6}
\]
The LCD of 9 and 6 is 18.
\[
\frac{5 \times 2}{9 \times 2} - \frac{1 \times 3}{6 \times 3} = \frac{10}{18} - \frac{3}{18} = \frac{7}{18}
\]

### 3. **Multiplication of Fractions**
Multiply the numerators together and the denominators together.

Example:
\[
\frac{2}{3} \times \frac{4}{5} = \frac{2 \times 4}{3 \times 5} = \frac{8}{15}
\]

### 4. **Division of Fractions**
To divide by a fraction, multiply by its reciprocal (invert the second fraction).

Example:
\[
\frac{3}{4} \div \frac{2}{5} = \frac{3}{4} \times \frac{5}{2} = \frac{3 \times 5}{4 \times 2} = \frac{15}{8}
\]

### 5. **Simplifying Fractions**
Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

Example:
\[
\frac{12}{16} = \frac{12 \div 4}{16 \div 4} = \frac{3}{4}
\]

Would you like more details or have any questions?

---

Here are 5 related questions:
1. How do you find the least common denominator (LCD) of two fractions?
2. What are the steps to convert an improper fraction to a mixed number?
3. How do you convert a mixed number back into an improper fraction?
4. What is the process of comparing two fractions to determine which is larger?
5. How can you simplify a complex fraction?

**Tip:** When adding or subtracting fractions, always simplify the final answer if possible to make the fraction easier to understand or work with.

Explore examples of operations in fractions, including addition, subtraction, multiplication, and division. Learn how to find the least common denominator, simplify fractions, and solve fraction problems step-by-step. 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