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Fractions of a Set
Grade 3 - Math - On Level
Worksheet 1
1What is 1/3 of 18 buttons?
221 pencils are split into 3 equal groups. How many pencils are in one group?
3Which fraction describes 6 out of 18 pencils when the set is split into 6 equal groups?
4In 2/4 of a set, what does the denominator 4 tell?
53 equal groups have 2 pencils each. How many pencils are in those selected groups?
6What is 3/4 of 28 buttons?
724 pencils are split into 6 equal groups. How many pencils are in one group?
8Which fraction describes 18 out of 24 blocks when the set is split into 4 equal groups?
9In 2/3 of a set, what does the denominator 3 tell?
10One equal group has 7 pencils. How many pencils are in that selected group?
About this worksheet
Fractions of a set ask students to apply fraction language to groups of objects rather than only to parts of one shape. Third graders may know that one fourth means one out of four equal parts, but they may count one object instead of one equal group when a set has many objects. This worksheet uses object sets and equal group reasoning. Students identify the numerator and denominator, count how many objects are in a fractional part, match a set model with a fraction sentence, and solve simple fraction-of-a-set questions. Support versions use halves and fourths with smaller totals. Standard and challenge versions include thirds, sixths, and larger sets. Encourage your child to split the set into equal groups first, then count the groups named by the numerator.
What your child will learn
Interpret fractions of object sets
Use numerator and denominator language
Split a set into equal groups
Count the objects named by a fraction
Worked example
One fourth of 20 objects is 5 objects because 20 split into 4 equal groups gives 5 in each group.
Common mistake
Counting the numerator as objects before making equal groups.
Helpful hint
Make equal groups first, then count the selected groups.
Worksheet 1