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To subtract fractions with different denominators, you need to follow these steps:
Find the least common denominator (LCD) of the fractions.
Convert each fraction to have the LCD as the denominator.
Subtract the numerators of the fractions with the same denominator.
Here’s an example:
Subtract 1/4 – 3/8
Step 1: Find the LCD of the denominators, which is 8.
Step 2: Convert the fractions to have the LCD of 8:
1/4 = 2/8
3/8 = 3/8
Step 3: Subtract the numerators:
2/8 – 3/8 = 1/8
Therefore, the result is 1/8.
The general steps are:
Find the LCD of the denominators.
Convert each fraction to have the LCD as the denominator:
Numerator = (Original Numerator) × (LCD / Original Denominator)
Denominator = LCD
Subtract the numerators of the fractions with the same denominator.
This method ensures that the fractions have a common denominator, making the subtraction process straightforward.