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Finding Fractions of Amounts Year 3

## Finding Fractions of Amounts Year 3

In school, when you were learning about fractions you probably didn’t need a calculator. You knew that 1/3 + 1/5 + 1/7 did not equal 1/2, but you didn’t have to work out it out. Keep this in mind when you’re multiplying fractions.

### Year

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Children in Year 3 will need to work out how to find fractions of amounts, for example: 1/3 of 12, 1/4 of 16, etc. Again, using small objects as counters will really help them with this. If they need to find 1/5 of 15, get them to count out 15 objects. Explain that because they are finding 1/5, they need to divide the objects into five equal groups. You could draw 5 circles on a piece of paper to help them with this. Once they have done this, explain to them that each circle contains a fifth of 15 (3). Once they have got the hang of this, they will need to start using mental division for working out these kinds of questions (for example: 1/4 of 20 is the same as 20 ÷ 4, which equals 5).

In Years 5 and 6, they will start to relate fractions to decimals and percentages. An empty hundred number square really helps with this. Ask your child to colour half the squares. Explain to them that they have coloured 1/2, but they have also coloured 50/100. We write this in decimal form as 0.5. Encourage them to colour 1/4 and explain that this is 25/100 or 0.25. You can then go onto explain to them that 25% is the same as one quarter, 50% is the same as one half and 75% is the same as three quarters. (Source: www.theschoolrun.com)

### Number

via GIPHY

In Years 5 and 6, they will start to relate fractions to decimals and percentages. An empty hundred number square really helps with this. Ask your child to colour half the squares. Explain to them that they have coloured 1/2, but they have also coloured 50/100. We write this in decimal form as 0.5. Encourage them to colour 1/4 and explain that this is 25/100 or 0.25. You can then go onto explain to them that 25% is the same as one quarter, 50% is the same as one half and 75% is the same as three quarters.

Fractions don’t always mean the same thing. ½ of a cake is not the same as ½ of three cakes, or ½ of a bag of 12 sweets! That’s the first hurdle – the value of a fraction changes depending on how big the numerator (top number) is. Secondly, if the bottom number (the denominator) in a fraction gets bigger, the value decreases. On top of all of that, names for fractions don’t always sound like the number they represent, like an eighth for â…› or a quarter for ¼. (Source: thirdspacelearning.com)

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