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How It Works
Subtracting fractions follows the same process as adding them. Find the LCM of the denominators to create a common denominator, convert each fraction, subtract the numerators, then simplify the result using the GCD.
Example Problem
Subtract 3/4 − 1/6:
- LCM of 4 and 6 = 12.
- Convert: 3/4 = 9/12, 1/6 = 2/12.
- Subtract: 9 − 2 = 7.
- Result: 7/12
Frequently Asked Questions
How to subtract fractions with different denominators?
Find the least common denominator (LCD), rewrite each fraction with the LCD, then subtract the numerators. For 5/6 − 1/4, the LCD is 12, giving 10/12 − 3/12 = 7/12.
Can the result of fraction subtraction be negative?
Yes. If the second fraction is larger than the first, the result is a negative fraction. For example, 1/3 − 1/2 = 2/6 − 3/6 = −1/6.
Is subtracting fractions the same process as adding them?
Almost identical. You still find a common denominator and convert both fractions. The only difference is you subtract the numerators instead of adding them, then simplify.
Related Calculators
- Fraction Addition Calculator — add fractions with step-by-step work.
- Simplify Fraction Calculator — reduce fractions to lowest terms.
- LCM Calculator — find the least common multiple for denominators.
- Fraction Division Calculator — divide fractions using the reciprocal method.
- Fraction Multiplication Calculator — multiply fractions with shown work.