Fractions: Fair Shares
Year 2 • Ages 6–7 • Beginner
Instructions: Fractions describe equal parts of a whole. Work through the activities in order: look for equal parts, then find fractions of shapes, lengths and amounts. You can use the examples to help you, and write each answer in its box.
Meet the Fractions
Read each fraction aloud. The bottom number tells you how many equal parts make the whole; the top number tells you how many parts to count. Write the fraction name or symbol asked for in the box.
Example: 1 out of 4 equal parts is one quarter, written 1/4.
1. One out of 3 equal parts is called ___.
2. One out of 4 equal parts is called ___.
3. Two out of 4 equal parts is written ___.
4. Three out of 4 equal parts is written ___.
Fractions of Shapes
Imagine each shape is split into the same number of equal parts. Write the fraction that names the shaded parts. The shaded parts are shown first; the remaining parts are unshaded.
1. A shape has 3 equal parts. 1 part is shaded. What fraction is shaded?
2. A shape has 4 equal parts. 1 part is shaded. What fraction is shaded?
3. A shape has 4 equal parts. 2 parts are shaded. What fraction is shaded?
4. A shape has 4 equal parts. 3 parts are shaded. What fraction is shaded?
Fractions of a Length
Each strip is divided into equal-length parts. Count the total parts, then count how many parts are included. Write the fraction of the whole length.
1. A strip is split into 3 equal lengths. 1 length is coloured. What fraction is coloured?
2. A strip is split into 4 equal lengths. 1 length is coloured. What fraction is coloured?
3. A strip is split into 4 equal lengths. 2 lengths are coloured. What fraction is coloured?
4. A strip is split into 4 equal lengths. 3 lengths are coloured. What fraction is coloured?
Find a Fraction of a Set
For each question, the objects are shared equally into the number of groups shown by the bottom number. Find how many objects are in the requested number of groups. Write the answer in the box.
Example: 1/2 of 6 = 3, because 6 shared equally into 2 groups gives 3 in each group.
1. 1/2 of 8 =
2. 1/3 of 9 =
3. 1/4 of 12 =
4. 2/4 of 12 =
5. 3/4 of 12 =
Equivalent Fractions
Equivalent fractions name the same amount. Use the example to help: half of a whole is the same amount as two quarters. Fill each box with 1/2 or 2/4.
Example: 1/2 = 2/4
1. ___ is equivalent to 2/4.
2. 1/2 is equivalent to ___.
3. Which is the same amount as 1/2: 1/4 or 2/4?
4. Which is the same amount as 2/4: 1/2 or 3/4?
Fraction Facts
Choose the correct answer for each question. Think about equal sharing and the fraction examples you have practised.
1. What is 1/3 of 6?
2. What is 1/4 of 8?
3. What is 3/4 of 8?
4. Which fraction is equivalent to 1/2?
Activity 1: one third ; one quarter ; 2/4 ; 3/4
Activity 2: 1/3 ; 1/4 ; 2/4 ; 3/4
Activity 3: 1/3 ; 1/4 ; 2/4 ; 3/4
Activity 4: 4 ; 3 ; 3 ; 6 ; 9
Activity 5: 1/2 ; 2/4 ; 2/4 ; 1/2
Activity 6: 2 ; 2 ; 6 ; 2/4
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