To solve the expression \( \frac{5}{12} - \frac{1}{9} \):

1. First, find the least common denominator (LCD) for the fractions. The denominators are 12 and 9. The LCD of 12 and 9 is 36.
  
2. Convert each fraction to have the LCD as the denominator:
   \[
   \frac{5}{12} = \frac{5 \times 3}{12 \times 3} = \frac{15}{36}
   \]
   \[
   \frac{1}{9} = \frac{1 \times 4}{9 \times 4} = \frac{4}{36}
   \]

3. Now, subtract the fractions:
   \[
   \frac{15}{36} - \frac{4}{36} = \frac{15 - 4}{36} = \frac{11}{36}
   \]

So, \( \frac{5}{12} - \frac{1}{9} = \frac{11}{36} \).

Would you like further details or explanations?

Here are five related questions:
1. How do you find the least common denominator for two fractions?
2. What is the process for adding or subtracting fractions with different denominators?
3. How can you simplify a fraction after performing arithmetic operations?
4. What are some methods for converting improper fractions to mixed numbers?
5. How would you multiply or divide fractions with different denominators?

**Tip:** When working with fractions, always make sure to simplify your final answer if possible to ensure it’s in its simplest form.

Learn how to subtract fractions 5/12 and 1/9 with a detailed step-by-step solution. This problem covers fundamental arithmetic operations with fractions, including finding the least common denominator and performing subtraction. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation