To subtract like fractions (fractions with the same denominator), you follow a simple process, perfect for Grade 6 math. Here's a breakdown:
Steps to Subtracting Like Fractions
According to the reference:
- Keep the Denominator: When subtracting fractions with the same denominator, you keep the denominator the same in your answer.
- Subtract the Numerators: Subtract the numerator of the second fraction from the numerator of the first fraction. This result becomes the numerator of your answer.
- Simplify (if needed): If possible, simplify the resulting fraction to its lowest terms.
Example
Let's look at an example, similar to the one provided in the reference: Subtract 7/12 from 9/12.
- Fractions: 9/12 - 7/12
- Keep the denominator: The denominator is 12, so the answer will also have a denominator of 12.
- Subtract the numerators: 9 - 7 = 2
- Result: 2/12
- Simplify: Both 2 and 12 are divisible by 2. So, 2/12 simplifies to 1/6.
Therefore, 9/12 - 7/12 = 1/6.
Summary Table
| Step | Description | Example (5/8 - 2/8) |
|---|---|---|
| 1. Keep Denominator | The denominator remains the same because we are dealing with "like fractions." | 8 |
| 2. Subtract Numerators | Subtract the second numerator from the first. This result becomes the new numerator. | 5 - 2 = 3 |
| 3. Write Result | Combine the new numerator and the common denominator. | 3/8 |
| 4. Simplify (if possible) | Check if the fraction can be simplified. In this example, 3/8 cannot be simplified further. | N/A |
Important Considerations
- Understanding "Like Fractions": Remember that this method only works when the fractions have the same denominator. Fractions with different denominators require an extra step of finding a common denominator before subtracting.
- Simplifying Fractions: Always simplify your answer to its simplest form. This means finding the greatest common factor (GCF) of the numerator and denominator and dividing both by that number.
