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# Fractions, Decimals and Percentages

Pupils should be able to:

• Compare and order fractions whose denominators are all multiples of the same number.
• Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths.
• Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number.
• Add and subtract fractions with the same denominator and denominators that are multiples of the same number.
• Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams.
• Read and write decimal numbers as fractions.
• Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents.
• Round decimals with two decimal places to the nearest whole number and to one decimal place.
• Read, write, order and compare numbers with up to three decimal place.
• Solve problems involving number up to three decimal places.
• Recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per hundred’, and write percentages as a fraction with denominator 100, and as a decimal.
• Solve problems which require knowing percentage and decimal equivalents of 1/2 , 1/4 , 1/5 , 2/5 , 4/5 and those fractions with a denominator of a multiple of 10 or 25.

Useful Websites:  BBC: Equivalent fractions Oak Academy: Fractions and Decimals BBC: Subtracting fractions, including from wholes Oak Academy: Fractions, Decimals and Percentages Oak Academy: Calculating with whole numbers and decimals Oak Academy: Problem solving with whole numbers and decimals

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