Adding and subtracting unlike fractions: printable worksheets
Add and subtract fractions and mixed numbers with unlike denominators by renaming to a common denominator.
Sample worksheet
The first 6 problems of a real worksheet, made the way the builder makes it. Open it in the builder to change the number of problems, the difficulty and the layout, then print.
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What students practise
I can describe shapes by their sides and corners and split a shape into equal shares.
Students tell the defining attributes of shapes, put shapes together, and partition circles and rectangles into equal shares named with the words halves, thirds and fourths.
Key words
- half
- one of two equal shares
- third
- one of three equal shares
- fourth (quarter)
- one of four equal shares
- equal shares
- parts that are exactly the same size
- side
- a straight edge of a flat shape
- vertex
- the point where two sides meet
Common mistakes
- Counts the parts without checking that they are the same size.
- Thinks more parts means a bigger share.
Standards
Common Core State Standards this worksheet practises.
- 5.NF.A.1: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.) (unverified)
- 5.NF.A.2: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2. (unverified)
Related topics
- Before this: Adding and subtracting fractions (Grade 4)