Fraction and Decimal Worksheets for Year 4 (age 8-9)
In Year 4 children will begin to work with hundredths, understanding that finding one hundredth is equivalent to dividing by 100 (e.g. one hundredth of 2 000 is equivalent to 2 000 divided by 100). They should also be shown the connection between hundredths and tenths and that hundredths arise by dividing tenths by ten (e.g 0.5 divided by ten is 0.05).
The relationship between fractions and decimals will also be extended and by the end of the year children should be able to recognise and write decimal equivalence of any number of tenths or hundredths (e.g. 6 hundredths is equivalent to 0.06).
An important part of this link between fractions and decimals is understanding the effect of dividing a one-digit or two-digit number by ten or one hundred and identifying the value of the digits in the answer as units, tenths and hundredths (e.g. 45 divided by 100 is 0.45 or 4 tenths and five hundredths or 45 hundredths). Each digit moves one place to the right when dividing by ten and two digits to the right when dividing by 100. There is more on this in our Year 4 Division category.
Of course, there is still plenty to do on equivalent fractions and children should be learning some of the more common families of equivalent fractions (e.g. one fifth is equivalent to two tenths). They should also know the decimal equivalents to a quarter (0.25), a half (0.5) and three quarters (0.75).
Addition of fractions with the same denominator continues but answers can be more than one whole one and should be simplified where possible. More work is also done with subtracting fractions with the same denominator. We have plenty of pages on both of these subjects.
If all of this is achieved by the end of Year 4 then your child will have a really good basic understanding of fractions and should be able to move on successfully next year.
Comparing and ordering decimals
Comparing and ordering decimals up to two decimal places.
Putting decimals in order of size, using tenths.
Putting numbers with two decimal places in order of size.
More decimals shown on scales, including numbers greater than one.
Complete the numbers shown on the scales.
Writing decimals in order from smallest to greatest.
Ordering decimals using a place value chart.
Using the < > to compare decimals less than one whole one.
Using the < > to compare decimals more than one whole one.
More comparing of decimals.
Harder comparisons of decimals using < > and =.
Order decimals in ascending and descending order, including mixed units of cm and metres.
Use digit cards to make the largest and smallest numbers including decimals.
Finding the value of digits and missing numbers.
Recognising tenths and hundredths
Recognising and writing decimal equivalents of tenths and hundredths. Ordering decimals.
Find the correct decimal that is displayed in each grid.
Write down the decimals that each set represents.
Counting on or back in tenths and hundredths.
Finding the number of hundredths in numbers up to 2 decimal places.
Making a whole one using part whole model with tenths
Making a whole one using part whole model with hundredths
Rounding decimals to the nearest whole one and the nearest tenth.
Round tenths to the nearest whole one.
Rounding Decimals to the Nearest Whole One.
Round decimals to the nearest tenth.
Decimals and fractions
Understanding the relationship between decimals and fractions.
practice converting tenths to their decimal equivalent.
Using images to help convert hundredths to ones and tenths.
More on hundredths written as decimals and fractions.
More on hundredths, including converting improper fractions to decimals.
Converting fractions shown in hundredths to decimals.
Converting hundredths to decimals.
Write decimal equivalents of tenths and hundredths
A look at the relationship between fractions and decimals.
Converting fractions to decimals, including dividing by ten with remainders written as fractions and then as a decimal.
Most primary school calculators cannot show fractions in the way they are usually written, but it is easy to change a fraction into a decimal fraction, as shown on these pages.
This set of worksheets is all about converting decimal fractions into fractions. Easy, if you understand tenths and hundredths.
Developing an understanding of the equivalence of fractions and how this can be used to order fractions.
More on equivalent fractions, with examples showing that 4 fifths is equivalent to 8 tenths etc.
More on equivalent fractions including quarters, thirds, fifths and tenths.
Use the digit cards as many times as you can to show equivalent fractions.
Find fractions equivalent to a half and a quarter.
Working with equivalent fractions.
Understanding improper fractions and mixed numbers.
Complete fraction sequences, simplifying fractions where possible.
Adding and subtracting fractions
Beginning to add and subtract fractions.
Making fractions add up to one whole one, including some tricky ones where the bottom numbers of the fractions are different!
Using bar models to add fractions.
Using bar models to show subtraction of fractions.
Adding fractions with the same denominator which total more than one.
More on fractions
More on fractions.
Finding fractions of numbers.
A little more on fractions and finding quarters, fifths, ninths etc.
Complete the shapes by colouring more squares.
Finding fractions of bars of chocolate.
Dividing by 100, with decimal and fraction answers.