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²⁄₄ is the same as ¹⁄₂ and ⁴⁄₄ is the same as one whole.

Year 2 Fractions - Equivalent Fractions

Learn how different-looking fractions can mean the same amount. Spot equal parts, match them, and explain why they are equivalent using pictures and simple sharing.

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(quiz starts below)

Fascinating Fact:

Same size, same value. If two fractions cover the same amount, they are equivalent. 1/2 = 2/4.

In KS1 Maths, pupils use shapes, bars, and number lines to see that some fractions are equal. They compare how much is shaded or shared to prove two fractions match.

Key Terms

Fraction: A way to show equal parts of a whole, like 1/2 or 3/4.
Equivalent: Different fractions that are the same size, such as 1/2 and 2/4.
Whole: The complete amount before it is split into parts.

Practise first: try the Fractions Game before you start the quiz.

Frequently Asked Questions (Click to see answers)

What are equivalent fractions for Year 2?

Equivalent fractions are different fractions that are the same size. For example, 1/2 and 2/4 cover the same amount of a shape.

How can I show that 1/2 equals 2/4?

Shade half of a rectangle. Then split the same rectangle into four equal parts and shade two. The shaded area is the same, so 1/2 = 2/4.

How do children find equivalent fractions?

They compare pictures, bar models, or number lines to see if the shaded or marked parts match in size, even if the numbers look different.

Try These Related Quizzes

Question 1

If I cut a cake into four equal slices and eat two of them, how much have I eaten?

A third of the cake

A quarter of the cake

Half of the cake

Three quarters of the cake

Two quarters out of four is the same as one half

Question 2

Jim and Harry both have 12 jelly beans. Jim eats ¹⁄₄ of his and Harry eats ¹⁄₃ of his. Who ate more jelly beans?

Jim

Harry

They ate the same

Neither

¹?₄ of 12 is 3 and ¹?₃ of 12 is 4, so Harry ate one more than Jim

Question 3

Kim ate ¹⁄₄ of a pizza and Fran also ate ¹⁄₄. What fraction of the pizza remains?

¹⁄₄

³⁄₄

¹⁄₃

¹⁄₂

There are four quarters in a whole. If two are eaten, two remain and this is the same as a half

Question 4

Which is less: ¹⁄₄ of 12 or ³⁄₄ of 16?

³⁄₄ of 16

²⁄₄ of 16

¹⁄₄ of 12

¹⁄₄ of 16

³?₄ of 16 is 12, ¹?₄ of 12 is only 3

Question 5

Which pair of fractions have the same value?

²⁄₃ and ¹⁄₂

¹⁄₄ and ²⁄₄

⁴⁄₄ and ²⁄₂

¹⁄₃ and ²⁄₄

Whenever the numerator and denominator are the same number, the fraction is equal to one whole

Question 6

Which is less: ¹⁄₄ of 12 or ¹⁄₃ of 9?

They both give the same answer

¹⁄₃ of 9

¹⁄₄ of 12

¹⁄₃ of 12

¹?₃ of 9 is 3, and ¹?₄ of 12 is also 3

Question 7

Which fraction is the same as ¹⁄₂?

³⁄₄

¹⁄₄

²⁄₅

²⁄₄

There are four quarters in a whole, so two of them would be the same as a half

Question 8

Which is more: ¹⁄₃ of 12 or ¹⁄₂ of 12?

They are the same

¹⁄₃ of 12

¹⁄₄ of 12

¹⁄₂ of 12

¹?₂ of 12 is 6 and ¹?₃ of 12 is 4

Question 9

Which is more: ¹⁄₂ of 6 or ³⁄₄ of 8?

³⁄₄ of 8

¹⁄₂ of 6

They are the same

¹⁄₃ of 6

³?₄ of 8 is 6, and ¹?₂ of 6 is 3

Question 10

Jane is given £24 for her birthday. She spends half the money on toys, a quarter of the money on sweets and gives a quarter to charity. How much money does Jane have left?

£2

£0

£1

£4

A half added to a quarter and another quarter equals everything!

You can find more about this topic by visiting BBC Bitesize - Fractions

Author: Angela Smith (Primary School Teacher & KS1 Quiz Writer)