Subtracting Fractions Calculator

Subtract fractions with like or unlike denominators, find the common denominator automatically, and simplify the result.

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First fraction
Second fraction

0

Difference as simplified fraction

0

Decimal value

1

LCD used

StepWorking
Original fractions0/1 − 0/1
Find the LCDLCD(1, 1) = 1
Subtract the numerators(0 − 0)/1 = 0/1

Also in Fractions

Fraction Arithmetic

How to subtract fractions with like and unlike denominators

A subtracting fractions calculator finds the difference between two fractions by converting them to a common denominator, subtracting the numerators, and simplifying the result. It handles proper fractions, improper fractions, and mixed numbers.

Subtracting with a common denominator

When fractions share a denominator, subtraction is straightforward: subtract the second numerator from the first and keep the denominator. The result should then be simplified if possible.

When denominators differ, both fractions must first be converted to equivalent fractions with the same denominator before the numerators can be subtracted.

Subtraction formula

The general formula for subtracting fractions with different denominators uses cross-multiplication to rewrite both fractions over a common denominator.

a/b - c/d = (ad - bc) / bd

Multiply each numerator by the opposite denominator, subtract the second product from the first, and place the result over the product of the denominators.

When the result is negative

If the second fraction is larger than the first, the result is a negative fraction. The calculator handles this by placing the negative sign on the numerator and still simplifying to lowest terms.

Frequently asked questions

How do I subtract mixed numbers?

Convert each mixed number to an improper fraction first, then subtract using the common-denominator method. Convert the result back to a mixed number if desired.

What if the result is zero?

When two fractions are equal, their difference is zero. The calculator will display zero, confirming the fractions are equivalent.

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