Equivalent fractions and comparing: printable worksheets

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.

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.

• 3.NF.A.3a: Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line. (unverified)
• 3.NF.A.3b: Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model. (unverified)
• 3.NF.A.3c: Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. (unverified)
• 3.NF.A.3d: Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions. (unverified)

Related topics

• Before this: Fractions on a number line (Grade 3)
• Next: Equivalent fractions (Grade 4)