Adding Fractions
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Your answer
Practice Mode
Add each pair and simplify.
What to understand
Why a common denominator?
Fractions can be added when they name equal-sized parts. Rewrite both fractions with a shared denominator first.
What stays the same?
Multiply the top and bottom of a fraction by the same number. Its value stays equal while its parts match the other denominator.
⚡ Adding Fractions Shortcut Vault
Same denominator: Add the numerators and keep the denominator. Then simplify.
Different denominators: Find the least common denominator. If it is not obvious, multiplying the denominators always gives a common denominator.
Check: Subtract one starting fraction from your answer. You should get the other starting fraction.