Adding Fractions Calculator

How to Add Fractions

Adding fractions requires finding a common denominator and combining the numerators. Here's a comprehensive guide on how to use the fraction calculator and understand the addition process:

Adding Fractions Formula

For fractions \(\frac{a}{b}\) and \(\frac{c}{d}\):

\[\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}\]

Where:

• \(a\) and \(c\) are numerators
• \(b\) and \(d\) are denominators

Steps to Add Fractions

1. Find a common denominator (multiply the denominators)
2. Convert each fraction to equivalent fractions with the common denominator
3. Add the numerators while keeping the common denominator
4. Simplify the resulting fraction if possible

Example Calculation

Let's add 2/3 and 3/4:

1. Find common denominator:

   3 × 4 = 12

2. Convert fractions:
   • 2/3 = (2 × 4)/(3 × 4) = 8/12
   • 3/4 = (3 × 3)/(4 × 3) = 9/12
3. Add numerators:

   8/12 + 9/12 = 17/12

4. Simplify:

   17/12 = 1 5/12

Visual Representation