Fraction and Decimal Worksheets for Year 6 (age 10-11)
In Year 6 there is even more work on equivalent fractions and using common factors to simplify fractions, often called cancelling.
Perhaps the biggest step is that by the end of Year 6 children will be expected to add and subtract fractions with different denominators and mixed numbers. A really sound understanding of how to do this is needed and many children will find this very difficult. We have a vast selection of addition and subtraction of fractions worksheets, increasing in difficulty, to meet all the challenges set by the Programme of Study.
More is also expected with multiplying fractions using simple proper fractions (e.g. a quarter multiplied by a half is an eighth). Some children find it hard to grasp that when multiplying a whole number by a proper fraction the answer will be smaller than the starting number; very unlike their normal multiplying experience with whole numbers. Replace multiply with the term ‘lots of’ can help with this (e.g. two lots of four is eight; a quarter lot of four is one). We have some excellent sets of worksheets getting progressively harder on multiplying fractions. Answers are expected to be written in their simplest form.
Dividing fractions is also introduced, but only dividing proper fractions by whole numbers.
Once again children should be encouraged to associate a fraction with division as well as working with decimal fractions up to three decimal places (e.g. three eighths as 0.375). More work is also done on percentages, a favourite topic in the KS2 SATs.
An important part of all this work with decimals and fractions is that children should develop their skills of rounding and estimating as a way of predicting and checking that their answers are sensible.
Whilst the Key Stage 2 SAT Papers are in May this leaves quite a short year to fit in all that is needed to be successful.
Understanding and ordering fractions
Understand equivalent fractions, compare and order fractions.
Tricky ordering of fractions on a number line.
Using bar models to help clarify fraction word problems.
Lecnac is the opposite to cancel? There's no other word for it!
More revision on equivalence.
More on equivalent fractions and simplifying fractions.
Using knowledge of equivalence to complete the fractions.
Finding a fraction between two other fractions shows a really good understanding of equivalence.
Ordering fractions with the help of a blank number line. Again, equivalent fractions need to be understood to successfully complete these pages.
Simplify fractions using the highest common factor.
Finding fractions of numbers. Some of these only require one step to reach the answer. Others require two steps.
Changing mixed numbers to improper fractions and vice versa. Cancelling fractions.
Fraction word problems. Don't forget fractions are really division calculations in disguise!
Addition and subtraction of fractions
Add and subtract fractions, including fractions with different denominators and mixed numbers.
Adding fractions which all have the same denominator.
Adding simple fractions with different denominators.
More addition of fractions with different denominators.
Adding mixed numbers where the denominators are the same.
Subtracting fractions from whole numbers.
A quick and easy way to subtract mixed numbers.
Subtracting mixed numbers; denominators the same.
Subtracting fractions practice.
Subtracting a fraction from a mixed number.
Multiplying and dividing fractions
Multiplying simple pairs of proper fractions and dividing proper fractions by whole numbers.
A look at what happens when two fractions are multiplied together.
An introduction to multiplying fractions by whole numbers.
Multiplying mixed numbers by a whole number.
A first look at dividing a fraction by a whole number.
A further look at dividing a fraction by a whole number.
Decimals and fractions
Decimal fractions and understanding the relationship between decimals and fractions
Working with numbers to three decimal places; recognising tenths, hundredths and thousandths.
A look at decimals and fractions using hundredths and thousandths.
Looking at place value with decimals up to thousandths.
Using place value charts and multiplying decimals by 10, 100 and 1000.
Dividing decimals by 10 and 100, working to 3 decimal places.
Write the fractions as decimals. Where necessary go to two decimal places.
Using a calculator, changing fractions to decimals, including looking at patterns such as ninths and sevenths.
More converting fractions to decimals.
More on converting fractions and mixed numbers to decimals.
Ordering decimal fractions. Sounds easy, but can be quite tricky.
Some of these really are quite hard! Comparing fractions and decimal fractions.
Multiplying and dividing decimals
Multiplying and dividing decimals. More can be found in our Year 6 Multiplication and Division categories.
Multiplying decimals up to 3 decimal places by 10, 100 and 1,000.
Multiplying decimals by a 1-digit whole number.
Word problems involving multiplying decimals.
Dividing decimals by 10, 100 or 1,000 by moving each digit to the right.
Use the long division method to divide decimals by 2-digit numbers.
Word problems involving division of decimals.
Rounding decimal fractions
Rounding fractions including rounding to the nearest tenth and hundredth.
Rounding decimals to the nearest whole one, including rounding to kilograms and kilometres.
Rounding decimals to the nearest tenth, including rounding metres and kilometres.
Rounding money to the nearest £1 and £10: harder examples.
Rounding decimals: tenths and hundredths.
Rounding decimals: tenths and hundredths.
Rounding decimals including the use of a calculator.
Find percentages and solve problems involving the calculation of percentages.
Great set of questions using bar models to help understand percentages.
Using bar models to solve tricky percentage word problems.
Converting and ordering decimals, fractions and percentages.
Finding percentages of numbers and money. Word problems using percentages.
Word problems involving working out percentages.
More on finding percentages of whole numbers.
Further fraction work
More on fractions.
Using a calculator to decide the size of fractions and some more converting fractions to decimal fractions.
Using only the multiplication or division calculator keys change one decimal fraction to another.