Adding and subtracting fractions: printable worksheets

Add and subtract fractions and mixed numbers with like denominators, break fractions apart, and solve one-step word problems.

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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.

\frac{2}{5} + \frac{4}{5} = 00

\frac{3}{5} + \frac{4}{5} = 00

\frac{9}{10} + \frac{6}{10} = 00

\frac{7}{8} + \frac{5}{8} = 00

\frac{10}{12} + \frac{3}{12} = 00

\frac{11}{12} + \frac{7}{12} = 00

Show answers

1 \frac{1}{5}

1 \frac{2}{5}

1 \frac{1}{2}

1 \frac{1}{2}

1 \frac{1}{12}

1 \frac{1}{2}

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.

4.NF.B.3a: Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. (unverified)
4.NF.B.3b: Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8; 3/8 = 1/8 + 2/8; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8. (unverified)
4.NF.B.3c: Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction. (unverified)
4.NF.B.3d: Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem. (unverified)

Before this: Equivalent fractions (Grade 4)
Next: Adding and subtracting unlike fractions (Grade 5)