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2 12 20 Minus 1 15 20 Fraction Calculator

Reviewed by Calculator Editorial Team

This calculator helps you subtract two fractions in the format of whole numbers, numerators, and denominators. The result is presented in its simplest form with a visual breakdown of the calculation process.

How to Use This Calculator

To calculate the difference between two fractions in the format of whole numbers, numerators, and denominators:

  1. Enter the first fraction: whole number, numerator, and denominator (e.g., 2 12 20)
  2. Enter the second fraction: whole number, numerator, and denominator (e.g., 1 15 20)
  3. Click "Calculate" to see the result
  4. Review the step-by-step breakdown and visualization

The calculator will convert each mixed number to an improper fraction, find a common denominator, subtract the fractions, and simplify the result.

Formula Explained

To subtract two mixed numbers (a b/c) and (d e/f):

1. Convert each mixed number to an improper fraction:

a b/c = (a × c + b)/c

d e/f = (d × f + e)/f

2. Find a common denominator (CD) which is the least common multiple (LCM) of c and f

3. Convert both fractions to have the common denominator:

(a × c + b)/c = [(a × c + b) × (f/LCM)]/CD

(d × f + e)/f = [(d × f + e) × (c/LCM)]/CD

4. Subtract the numerators:

Result = [(a × c + b) × (f/LCM) - (d × f + e) × (c/LCM)]/CD

5. Simplify the resulting fraction by dividing numerator and denominator by their greatest common divisor (GCD)

This process ensures accurate subtraction of mixed numbers while maintaining mathematical precision.

Worked Example

Let's calculate 2 12/20 - 1 15/20 step by step:

  1. Convert mixed numbers to improper fractions:
    • 2 12/20 = (2 × 20 + 12)/20 = 52/20
    • 1 15/20 = (1 × 20 + 15)/20 = 35/20
  2. Find common denominator: LCM of 20 and 20 is 20
  3. Subtract the numerators: 52/20 - 35/20 = 17/20
  4. Simplify: 17/20 is already in simplest form

The result is 17/20, which is 0.85 or 85%.

Frequently Asked Questions

What format should I use for the fractions?
Enter the fractions in the format of whole number, numerator, and denominator (e.g., 2 12 20 for 2 12/20).
Can I subtract fractions with different denominators?
Yes, the calculator automatically finds a common denominator before performing the subtraction.
How is the result simplified?
The calculator divides both the numerator and denominator by their greatest common divisor (GCD) to present the result in simplest form.
What if I enter invalid numbers?
The calculator will show an error message if the inputs are invalid (e.g., denominator is zero or numerator is larger than denominator).
Can I use this calculator for mixed number addition?
No, this calculator is specifically designed for mixed number subtraction. For addition, use our mixed number addition calculator.