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Year 2 Fractions - Equivalent Fractions
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.

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
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 2
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 3
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 4
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 5
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 6
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!
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
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 10
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
You can find more about this topic by visiting BBC Bitesize - Fractions

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