Good Morning Year 5! Today’s Maths will be based on the following success criteria:
- To be able to convert decimals into fractions
- To represent fractions and decimals pictorially
As you can see in the image below, if your decimal has a digit in the ‘tenths’ column the fraction will be /10. (Random Example: 0.4 as a fraction will be 4/10 because the digit ‘4’ is in the tenths column).
If your decimal has a digit in the ‘hundredths’ column the fraction will be /100. (Random Example: 0.03 as a fraction will be 3/100 because the digit ‘3’ would appear in the hundredths column).
Finally, if your decimal has a digit in the ‘thousandths’ column the fraction will be /1000. (Random Example: 0.006 as a fraction would be 6/1000 because the digit ‘6’ would appear in the thousandths column).
It is very easy to convert decimals into fractions when they are ‘0.0 something’. Just like you have been doing for days! But what do you when you do not have a 0 in the ones column? and the ones column has a digit e.g. 7.2? Watch below :)
This video explains how to convert decimals such as ‘5.3 into a mixed number fraction’ – Please watch this as this is what we are moving on towards :)
Example: 5.3 as a fraction is 5 wholes and 3/10 (a mixed number). This is because if you look at the value of the ‘5’ it is in the ones column, is it a whole! the remaining ‘0.3’ still fits into the ‘tenths’ column so as a fraction this would ‘3/10’. When you combine them together you get 5 and 3/10.
Example 2: 6.14 as a fraction would be 6 and 14/100 (a mixed number). This is the still the same as the above, the only difference is you now have a hundreds column, so the fraction is out of 100 instead of 10. 6 is your whole and 0.14 goes into the ‘tenths’ and ‘hundredths’ – therefore this becomes 6 wholes and 14/100.
If you do not understand the above watch the video from 2 mins 38 seconds :)
Task 2: Use the information in the table below to fill in the gaps. You need to convert either from a fraction to a decimal, or the other way around!
If you are struggling please look at the video and images above, or ask for support!
Challenge: Please post your answers down below :)