To compare fractions, decimals and percentages change everything to decimals first.
So to place 
, 0.7 and 76% in order
= 0.75 (divide the numerator by the denominator)
76% = 0.76
So the correct order, smallest first is 0.7, , 76%
Try these
Students often need to be able to compare fractions. Do you know which is bigger between 
and 
?
means the whole has been divided into 5 equal pieces and you have one of them.
means the whole has been divided into 6 equal pieces and you have one of them.
The fraction wall shows that the larger the denominator, the smaller each piece becomes, so is greater than .
Try this exercise to choose the biggest fraction.
Can you interpret the graphs correctly?
Numbers are often rounded to find approximate percentages. For example if 28 out of 119 ESOL students come from Eastern Europe we could round to the nearest ten, giving us 30 out of 120.
30÷120 x 100 = 25% so we can say that 28 out of 119 students is roughly 25%.
Practice approximating percentages with this quiz.
Sometimes complicated fractions can be rounded and cancelled down.
could round to 
because 72 is 70 to the nearest 10 and 99 is 100 to the nearest 10.
See if you can approximate these fractions.
See if you can read the tyre gauges correctly.
Can you read speedometers? Try this simple quiz.
Practice reading scales by matching the shopping to the correct weight showing on the scales. If you click refresh when you’ve finished you’ll get a different exercise.
If you are preparing for the Level 2 Adult Numeracy test one thing you have to practice is speed! You have 40 questions to answer in one hour and a quarter, so you need to be quick! Here is a timed tes
t to see if you can answer questions under pressure!
Remember area is the space inside the shape and perimeter is the distance around it.
Lots of my ESOL students still get confused with some numbers. Seventy becomes 17 rather than 70 and sixteen is sometimes written as 60 rather than 16. Try this matching quiz to see if you can get them right.
Here is another weight quiz
Many students read scales incorrectly because they assume each division on the scale is one unit.
For instance they would look at this scale and read it as 69 mph as it is one division before 70. This is wrong! Always work out what each division means first. On this speedometer 5 divisions mean 10mph. So each division is 2mph. It is pointing at 68mph.
An exercise to help ESOL students find the right words in different calculations.
Complete the sentence
ESOL students often have great difficulty interpreting questions and working out which operation they should use.Hopefully this exercise will help.
