It is important that your
child can compare different fractions and determine which is larger,
which is smaller, or if they are equal.
Review the three different comparison
situations below. Note: This fraction
number line will help with comparing
Same numerator, Different denominator
In this case there are the same number of different things.
In this case the things are thirds and sixths. Ensure your child that
that thirds are larger than sixths. The rule
for comparing here is that the fraction with the smaller denominator
Different numerator, Same denominator
Here we have a different number of the same thing – there are
seven eighths and three eighths. Seven is a larger number than three.
comparison rule here is that the fraction with the greatest numerator
is the largest.
Different numerator, Different denominator
This is a more difficult task the two comparisons above. Depending
on your child’s level, this maybe a step you skip and then come
back to later.
These fractions are compared by changing the denominators to a common
number. This can be done by multiplying the top and bottom of the fraction
by the same number since this will give a fraction with an equivalent
value. Do this as shown below to both fractions to get a common denominator
and then compare them.
So, in the example above, now that the denominators are equal, the fraction with the greatest numerator is the largest.
Practice comparing fractions with the worksheets above.