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Primary Maths · Year 2Chapter 4 · Fractions
Year 2 · Fractions · Lesson 4.3

Year 2: Two quarters and three quarters

Part of the Year 2 fractions chapter. Chapter overview · whole chapter on one page

4.3

Two quarters and three quarters

Year 2
Recognise, find and name two quarters and three quarters of a shape
A bakery. Mei shares a tray of buns into equal parts.

A quarter is one of four equal parts. Two quarters are shaded here. We write two quarters as 2/4.

Three quarters means three of the four equal parts. We write it as 3/4.

The top number counts the parts we have. The bottom number counts all the equal parts.

2/43/4
Two quarters are shaded on the left. Three quarters are shaded on the right.

Key ideas

  • A quarter is one of four equal parts.
  • Two quarters is 2/4.
  • Three quarters is 3/4.
  • The top number is the number of parts we have.
Worked example 4.3.1
What fraction of the square is shaded?

Key words. The bottom number is how many equal parts there are. The top number is how many parts are shaded.

Method. Count the equal parts underneath. Count the shaded parts on top.

  1. Count the equal parts. All the parts are the same size. There are 4.
    4 equal parts
  2. Count the shaded parts. 2 of the 4 equal parts are shaded.
    2 shaded
  3. Write the fraction. The shaded parts go on top. All the equal parts go underneath. That is two quarters.
    2/4

Check. Say it in words: two quarters. ✓

Watch out. The bottom number counts all the equal parts. The top number counts only the shaded parts.

Worked example 4.3.2
What fraction of the circle is shaded?

Key words. The bottom number is how many equal parts there are. The top number is how many parts are shaded.

Method. Count the equal parts underneath. Count the shaded parts on top.

  1. Count the equal parts. All the parts are the same size. There are 4.
    4 equal parts
  2. Count the shaded parts. 3 of the 4 equal parts are shaded.
    3 shaded
  3. Write the fraction. The shaded parts go on top. All the equal parts go underneath. That is three quarters.
    3/4

Check. Say it in words: three quarters. ✓

Watch out. The bottom number counts all the equal parts. The top number counts only the shaded parts.

Worked example 4.3.3
Ella cuts a bar into 4 equal pieces. She shades 2 pieces. What fraction is shaded?

Key words. The bottom number is how many equal parts there are. The top number is how many parts are shaded.

Method. Count the equal parts underneath. Count the shaded parts on top.

  1. Count the equal parts. All the parts are the same size. There are 4.
    4 equal parts
  2. Count the shaded parts. 2 of the 4 equal parts are shaded.
    2 shaded
  3. Write the fraction. The shaded parts go on top. All the equal parts go underneath. That is two quarters.
    2/4

Check. Say it in words: two quarters. ✓

Watch out. The bottom number counts all the equal parts. The top number counts only the shaded parts.

Watch out

Watch out: the top number is the shaded parts, so three quarters is 3/4.

It is not 4/3.

Exam tip

Grown-up tip. Cut a sandwich into four equal pieces. Ask: “How many pieces do we have? How many pieces make the whole sandwich?”

Exercise 4C  Two quarters and three quarters

Non-calculator
1
FWhat fraction is shaded? Write it as a fraction.
2
FWhat fraction is shaded? Write it as a fraction.
3
FWhat fraction is shaded? Write it as a fraction.
4
FWhat fraction is shaded? Write it as a fraction.
5
FWhich picture shows three quarters shaded? Write A, B or C.
ABC
6
FTwo quarters of this 8 cm ribbon are shaded. How long is 2/4 of the ribbon?
8 cm
7
FHow long is 3/4 of this 12 cm ribbon? Write the length in cm.
12 cm
8
PSMo eats 3 of these 4 equal slices of toast. The shaded slice is left. What fraction is left?
9
PSJack cuts a pizza into 4 equal slices and eats 2 of them. What fraction did he eat?
10
RLook at the two bars. Which is more shaded? Write 2/4 or 3/4.
AB
11
RSam says 2/4 and 3/4 are the same amount. Is he right? Explain how you know.
2/43/4

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