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How to add fractions with different denominators

Want to find out how to add fractions with different denominators? We've provided a step-by-step guide of how to add fractions with different denominators to teach you everything you need to know.

Step 1: Check the denominators are different

Confirm the denominators of the fractions are different

Step 2: Find the least common denominator

Next you need to find the least common denominator (LCD)

Step 3: Rewrite the fractions so they share the same denominator

Multiply the numerator with the factor needed to come up with the least common denominator.

Step 4: Add the numerators

Since the denominator are now alike, add the numerators and write LCD as the denominator to find the sum.

Step 5: Simplify fractions

Simplify the sum if needed.

Examples on adding fractions with different denominators

Q1) Find the sum of the following sets of fractions:

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Find the least common denominator shared by the sets of fractions.

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Express the fractions so that they share common denominators.

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Write the new fractions and find the sum by adding the numerators.

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Simplify the sum when needed.

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