Equivalent fractions on the bar

The Maths Habit Handout to print

  1. What fraction of the bar is shaded?

    35

  2. What fraction is the arrow pointing to?

    0146

  3. Which is bigger, 13 or 14?

    13

Ana and Ben have the same bar of chocolate. Ana cuts hers into 2 pieces and eats 1. Ben cuts his into 4 pieces and eats 2. Who eats more?

Ana
Ben

The same. Ben’s pieces are half the size, so 2 of his are 1 of Ana’s.

Equivalent
Worth the same amount.
Numerator
The top number of a fraction.
Denominator
The bottom number of a fraction.
Simplest form
A fraction with the fewest equal parts it can have.

12shaded partsequal parts24
  1. Same bar, same shading.The two bars are the same length.
  2. Cut every part into the same number of smaller parts.
  3. Count again.Equal parts on the bottom. Shaded parts on the top.

Is the same amount shaded?

Yes

Is the same amount shaded?

No: 34 is more

Shade the same amount on the bottom bar. Same shading, smaller parts. Count again. 46

2346

Shade the same amount on the bottom bar. Same shading, smaller parts. Count again. 210

15102

Shade the same amount on the bottom bar. Same shading, smaller parts. Count again. 46

2346

Shade the same amount on the bottom bar. Same shading, smaller parts. Count again. 48

1248

Shade the same amount on the bottom bar. Same shading, smaller parts. Count again. 46

2346

Shade the same amount on the bottom bar. Same shading, smaller parts. Count again. 48

2484

Shade the same amount on the bottom bar. Same shading, smaller parts. Count again. 46

2346

Cut each part of the bottom bar into 3. Shade the same amount. Same shading, smaller parts. Count again. 39

1339

Shade the same amount on the bottom bar. Same shading, smaller parts. Count again. 46

2346

Shade the same amount on the bottom bar. Same shading, smaller parts. Count again. 610

35610

Equivalent fractions on the bar worksheet, page 1

Every part is cut into 2. The parts double and the shaded parts double.

3468
3468×2×2

Do the same to the top and the bottom.

What has the bottom been multiplied by?

14 = ?12 ×3

Write 25 with 10 on the bottom. Do the same to the top and the bottom. 410

25104×2×2

Write 34 with 12 on the bottom. Do the same to the top and the bottom. 912

3412×39×3

Write 25 with 10 on the bottom. Do the same to the top and the bottom. 410

25104×2×2

Write 16 with 12 on the bottom. Do the same to the top and the bottom. 212

16122×2×2

Write 69 in its simplest form. Do the same to the top and the bottom. 23

6923÷3÷3

Write 410 in its simplest form. Do the same to the top and the bottom. 25

410÷2÷225

Write 69 in its simplest form. Do the same to the top and the bottom. 23

6923÷3÷3

Write 812 in its simplest form. Do the same to the top and the bottom. 23

81223÷4÷4

Equivalent fractions on the bar worksheet, page 2

Answer sheet

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

  1. 12 = 24

    Right

  2. 13 = 24

    Wrong: 13 = 26

  3. 35 = 610

    Right

  4. 23 = 34

    Wrong: 23 = 46

  5. 48 = 12

    Right

  1. Write three fractions equal to 12.

    24, 36, 48 (and more)

  2. Write 1216 in its simplest form.

    34

  3. Which is bigger, 34 or 58? Use bars to show how you know.

    34, because 34 = 68

  1. Shade the same amount on the bottom bar. What fraction is it?

    26

  2. Write 35 with 10 on the bottom.

    610

  3. Write 68 in its simplest form.

    34
Exit tickets to print