https://file.aiquickdraw.com/mathbot/file/1728281308265ydxd4acp.jpg

To solve this problem, we need to subtract the two fractions:

\[
\frac{6}{7} - \frac{9}{14}
\]

### Step 1: Find a Common Denominator
The denominators are \(7\) and \(14\). The least common multiple of \(7\) and \(14\) is \(14\).

1. Convert \(\frac{6}{7}\) to a fraction with a denominator of \(14\):
   \[
   \frac{6}{7} = \frac{6 \times 2}{7 \times 2} = \frac{12}{14}
   \]

2. Now we have:
   \[
   \frac{12}{14} - \frac{9}{14}
   \]

### Step 2: Subtract the Fractions
Since the fractions now have a common denominator, we can subtract them directly:

\[
\frac{12 - 9}{14} = \frac{3}{14}
\]

### Final Answer:
\[
\frac{6}{7} - \frac{9}{14} = \frac{3}{14}
\]

Would you like further explanation on any step, or do you have any questions?

### Related Questions to Explore:
1. How do you find the least common multiple of two numbers?
2. What is the process for converting mixed numbers to improper fractions?
3. How do you add fractions with different denominators?
4. What is the significance of the least common denominator in fraction operations?
5. How can you simplify fractions after performing arithmetic operations?

### Tip:
When subtracting fractions with different denominators, always find the least common multiple of the denominators first. This makes calculations simpler and reduces the chance of error.

Learn how to subtract fractions with different denominators, such as 6/7 and 9/14. This step-by-step guide covers finding the least common denominator and simplifying the result, 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