How to Subtract Fractions with Different Denominators?

To subtract fractions with different denominators, you need to find a common denominator first. Here's how to do it:

1. Find the Least Common Denominator (LCD): Determine the smallest multiple that both denominators share.
2. Convert the Fractions: Change each fraction into an equivalent fraction with the LCD as the new denominator. To do this, multiply both the numerator and denominator of each fraction by the number that makes the original denominator equal to the LCD.
3. Subtract the Numerators: Once the fractions have the same denominator, subtract the numerators. Keep the common denominator.
4. Simplify the Result: Reduce the resulting fraction to its simplest form, if possible.

Example:

Let's say you want to subtract 1/6 from 4/6. According to the reference, since the fractions have the same denominators, you can directly subtract the numerators while keeping the common denominator:

4/6 - 1/6 = (4 - 1)/6 = 3/6

Then, simplify the fraction: 3/6 = 1/2