Math & Algebra Tool

Adding and Subtracting Fractions Calculator

Add or subtract two fractions with step-by-step solutions and common denominators.

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Σ The Formula

(a/b) ± (c/d) = (ad ± bc) / bd

Real World Examples

Same Denominator
1/4 + 2/4 = 3/4
Different Denominator
1/2 + 1/3 = 5/6
Subtraction
3/4 - 1/8 = 5/8

# About This Calculator

Adding and subtracting fractions requires finding a common ground between the two numbers. If the denominators (bottom numbers) are the same, you simply add or subtract the numerators (top numbers).

When denominators differ, you must find a Least Common Denominator (LCD). This involves converting both fractions into equivalent fractions that share the same denominator so they can be combined accurately.

For example, to add 1/2 and 1/3, you convert them to 3/6 and 2/6. Then, 3/6 + 2/6 = 5/6. After adding or subtracting, it is often necessary to simplify the result to its lowest terms.

Our specialized calculator handles all these steps for you, including finding the LCD and simplifying the final fraction, making fraction arithmetic transparent and easy to learn.

How To Use

  1. Enter the numerator and denominator for both fractions.
  2. Select Addition (+) or Subtraction (-).
  3. Click "Calculate".

Frequently Asked Questions

What is a common denominator?+

A common denominator is a shared multiple of the denominators of two or more fractions. It's necessary to have a common denominator to add or subtract fractions because you need to ensure the 'parts' you're adding are the same size.

How do you simplify a fraction?+

Divide both the numerator and denominator by their Greatest Common Divisor (GCD). For example, 4/8 simplified by dividing by 4 is 1/2.

Can I use this for mixed numbers?+

This tool is designed for simple fractions. If you have mixed numbers, convert them to improper fractions first (e.g., 1 1/2 = 3/2) and then use this calculator.

Is Adding and Subtracting Fractions Calculator free to use?+

Yes, Adding and Subtracting Fractions Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Adding and Subtracting Fractions Calculator?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Adding and Subtracting Fractions Calculator are accurate for academic and professional use.

Can I use Adding and Subtracting Fractions Calculator on my phone?+

Yes! Adding and Subtracting Fractions Calculator is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

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