How to Subtract Fractions with the Same Denominators?

To subtract fractions with the same denominators, simply subtract the numerators and keep the denominator the same.

Here's a breakdown of the process:

1. Identify the Numerators and Denominators: Make sure you know which numbers are the numerators (the top numbers) and which are the denominators (the bottom numbers). Verify that the denominators are the same.

2. Subtract the Numerators: Subtract the numerator of the second fraction from the numerator of the first fraction.

3. Keep the Denominator: The denominator of the result will be the same as the denominator of the original fractions.

4. Simplify (if necessary): If possible, simplify the resulting fraction by dividing both the numerator and denominator by their greatest common factor (GCF). As the reference video notes, you might need to divide to reduce to the lowest terms.

Example:

Let's say you want to subtract 3/5 - 1/5:

1. The numerators are 3 and 1. The denominator is 5 (and is the same for both fractions).
2. Subtract the numerators: 3 - 1 = 2
3. Keep the denominator: The denominator is 5.
4. The result is 2/5. This fraction is already in its simplest form.

Another Example (with simplification):

Subtract 7/10 - 3/10:

1. Numerators: 7 and 3. Denominator: 10
2. Subtract numerators: 7-3 = 4
3. Keep the denominator: The denominator is 10.
4. The result is 4/10. Now we simplify. Both 4 and 10 are divisible by 2. 4/2 = 2 and 10/2 = 5.
5. Simplified result: 2/5

In summary, when subtracting fractions that share a common denominator, the key is to perform the subtraction operation solely on the numerators, while the denominator remains unchanged. Remember to simplify your answer if possible.