Fractions: Equal Parts, Fair Shares
Year 2 • Ages 6–7 • Intermediate
Instructions: Work through each activity and write your answers in the boxes. Fractions describe equal parts: the bottom number tells how many equal parts make the whole, and the top number tells how many parts we have. Check that each whole is shared into equal parts before naming a fraction.
Name the Fraction
Read each description carefully. Write the fraction named by the shaded or selected parts. The parts in each whole are equal.
1. A shape is split into 3 equal parts. 1 part is shaded. What fraction is shaded?
2. A shape is split into 4 equal parts. 1 part is shaded. What fraction is shaded?
3. A shape is split into 4 equal parts. 2 parts are shaded. What fraction is shaded?
4. A shape is split into 4 equal parts. 3 parts are shaded. What fraction is shaded?
Fractions of a Set
Each group has equal shares. Find the requested fraction by sharing the objects equally, then write how many objects are in that share.
Fractions of Lengths
Imagine each strip is divided into the number of equal sections shown. Find the requested fraction of its length and write the answer in sections.
1. A strip is 6 equal sections long. Find 1/3 of its length. sections
2. A strip is 8 equal sections long. Find 1/4 of its length. sections
3. A strip is 12 equal sections long. Find 2/4 of its length. sections
4. A strip is 8 equal sections long. Find 3/4 of its length. sections
Fractions as Number Sentences
Work out each fraction of the number. Share the number into equal groups first, then write the number in the box.
1. 1/2 of 6 =
2. 1/3 of 9 =
3. 1/4 of 12 =
4. 3/4 of 8 =
5. 2/4 of 10 =
Equivalent Fractions
Two fractions can name the same amount. Decide whether each statement is true or false, then write your answer in the box.
1. 2/4 is the same amount as 1/2.
2. 1/4 is the same amount as 1/2.
3. 2/4 means 2 of 4 equal parts.
4. 3/4 is more than 1/2.
Fractions in Everyday Sharing
Read each sharing problem. Work out the fraction of the whole, then write the number of items each person or share receives.
1. 1/2 of 8 biscuits is how many biscuits?
2. 1/3 of 12 pencils is how many pencils?
3. 1/4 of 16 counters is how many counters?
4. 3/4 of 12 strawberries is how many strawberries?
Activity 1: 1/3 ; 1/4 ; 2/4 ; 3/4
Activity 2: 2 ; 2 ; 6 ; 6
Activity 3: 2 sections ; 2 sections ; 6 sections ; 6 sections
Activity 4: 3 ; 3 ; 3 ; 6 ; 5
Activity 5: True ; False ; True ; True
Activity 6: 4 biscuits ; 4 pencils ; 4 counters ; 9 strawberries
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