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Adding fractions with unlike denominators worksheets
18 adding fractions problems with unlike denominators, denominators up to 12 · 1 page + answer key
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Eighteen problems adding two fractions with different denominators, like 2/5 + 1/3, with sums of 1 or less. Every fraction starts in simplest form. The answer key shows the sum with a common denominator and then in simplest form, so a wrong answer is easy to trace to the step that went wrong.
The routine: find a common denominator (the least common multiple is easiest), rewrite both fractions, add the numerators, simplify. This is 5th grade work in the Common Core standards. For subtraction too and mixed-number answers, use the 5th grade fractions sheet.
Tips for using it
- List multiples of the bigger denominator until one is divisible by the smaller: 6, 12 → 12 works for 4 and 6.
- Draw two equal bars, split them into the common denominator, and shade.
Variations
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Questions
What is a common denominator?
A number both denominators divide into evenly. For 1/4 and 1/6, 12 works: 1/4 = 3/12 and 1/6 = 2/12.
What grade adds fractions with unlike denominators?
5th grade in the Common Core standards. 4th graders add fractions with like denominators first.