Subtracting Fractions Calculator

To subtract fractions correctly, they must have the same denominator. Our calculator automates this process:

Step 1: Enter the numerator and denominator for the first fraction (the minuend).

Step 2: Enter the numerator and denominator for the second fraction (the subtrahend).

Step 3: Click "Calculate."

Step 4: Follow the working steps provided: - Identification of the Least Common Denominator (LCD). - Conversion of both fractions to the new denominator. - Subtraction of the numerators. - Simplification of the final fraction.

Step 5: The result is also shown as a decimal and a percentage. For mixed numbers, convert to improper fractions before inputting.

The general formula for subtracting fractions is: (a / b) − (c / d) = (ad − bc) / (bd)

Steps for Subtraction: 1. Find a Common Denominator: The easiest is the Least Common Multiple (LCM) of the two denominators. 2. Adjust Numerators: Multiply each numerator by the same factor used to change its denominator. 3. Subtract: Subtract the second numerator from the first; keep the common denominator. 4. Simplify: Divide the result by the GCF of the numerator and denominator.

Example: 1/2 - 1/3 1. LCD of 2 and 3 is 6. 2. (1/2 becomes 3/6) and (1/3 becomes 2/6). 3. 3/6 - 2/6 = 1/6.

Subtracting fractions is a fundamental skill used in construction (measuring lengths), finance (calculating remaining shares), and science (measuring differences in liquid volumes). The most common mistake in fraction subtraction is subtracting the denominators—this tool prevents that error by enforcing the 'common denominator' rule. Whether you are dealing with proper fractions, improper fractions, or negative results, this calculator ensures your math is precise and your final answer is fully reduced.