Fractions on a bar and a number line

The Maths Habit

Three friends share a bar of chocolate. Which cut is fair?

A
B
C

B. Every piece is the same size: equal parts. A and C are not fair.

Whole
One complete thing before it is split.
Equal parts
Parts that are all exactly the same size.
Fraction
Some of the equal parts of a whole.
Unit fraction
One of the equal parts of a whole.
Non-unit fraction
More than one of the equal parts of a whole.

34shaded partsequal parts
  1. Are the parts equal?Only equal parts make a fraction.
  2. Count the equal parts.That number goes on the bottom.
  3. Count the shaded parts.That number goes on the top.

Are the parts equal?

No

Are the parts equal?

Yes: 6 equal parts

What fraction of the bar is shaded? Equal parts on the bottom. Shaded parts on the top. 25

25

What fraction of the bar is shaded? Equal parts on the bottom. Shaded parts on the top. 38

83

What fraction of the bar is shaded? Equal parts on the bottom. Shaded parts on the top. 25

25

What fraction of the bar is shaded? Equal parts on the bottom. Shaded parts on the top. 56

56

What fraction of the bar is shaded? Equal parts on the bottom. Shaded parts on the top. 25

25

What fraction of the bar is shaded? Equal parts on the bottom. Shaded parts on the top. 16

61

What fraction of the bar is shaded? Equal parts on the bottom. Shaded parts on the top. 25

25

Shade 23 of the bar. Equal parts on the bottom. Shaded parts on the top. Shade 2 of the 3 parts

23

What fraction of the bar is shaded? Equal parts on the bottom. Shaded parts on the top. 25

25

What fraction of the bar is shaded? Equal parts on the bottom. Shaded parts on the top. 37

37

Fractions on a bar and a number line worksheet, page 1

Lay the bar on a number line from 0 to 1.

0134

The shading ends at 34 on the line.

How many equal parts from 0 to 1?

01 5. Count the gaps, not the lines.

How many equal parts from 0 to 1?

01 3. Count the gaps, not the lines.

What fraction is the arrow pointing to? Shade the bar up to the arrow. Equal parts on the bottom. Shaded parts on the top. 35

0135

What fraction is the arrow pointing to? Shade the bar up to the arrow. Equal parts on the bottom. Shaded parts on the top. 38

0183

What fraction is the arrow pointing to? Shade the bar up to the arrow. Equal parts on the bottom. Shaded parts on the top. 35

0135

What fraction is the arrow pointing to? Shade the bar up to the arrow. Equal parts on the bottom. Shaded parts on the top. 23

0123

Fractions on a bar and a number line worksheet, page 2

Answer sheet

Thumbs up: it is right. Thumbs down: it is wrong.

  1. Shaded: 14

    Right

  2. Shaded: 13

    Wrong: the parts are not equal

  3. Shaded: 23

    Wrong: it is 25

  4. The arrow is at 24

    Right

  5. The arrow is at 17

    Wrong: it is 16

  1. Which is bigger, 14 or 16? Draw two bars to show how you know.

    14

  2. How many fifths make a whole?

    5

  3. A bar has 8 equal parts. Half of the parts are shaded. Write the fraction shaded in two ways.

    48 and 12

  1. What fraction of the bar is shaded?

    46

  2. Shade 25 of the bar.

  3. What fraction is the arrow pointing to?

    35
    01
Exit tickets to print