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# Addtion of fractions with different denominators

Example: Analysis:
The denominator of the first fraction is 2, the numerator of the first fraction is 1
The denominator of the second fraction is 3, the numerator of the second fraction is 2
The denominator of the third fraction is 4, the numerator of the third fraction is 3
To find the least common denominator (LCD) of a set of fractions, we need to follow these steps:
Step 1. factor each denominator into a product of prime numbers.
Step 2. List each prime factor with the largest exponent it has in any factored denominator.
Step 3. LCD is the product of the factors.
Since 2 = 1 × 2, 3 = 1 × 3, 4 = 1 × 22, so the least common denominator (LCD) is:
LCD = 2 × 3 × 2 = 12
Solution:
Rule of adding fractions with different denominators:
Step 1: Find the least common denominator(LCD).
Step 2: Use the least common denominator to make each fraction has the same denominator.
Step 3: Adding the fractions with the same denominator together. Note:
The denominators of the fractions can not be zero.