Adding and Subtracting Unlike Fractions
Let's quickly revise about like and unlike fractions.
Fractions with same denominators are called like fractions.
Fractions with different denominators are called unlike fractions.
Examples of unlike fractions with same numerators and different numerators
We also know that two like fractions are added as shown,
Two like fractions are subtracted as shown,
Now, let's add or subtract unlike fractions.
Adding Unlike Fractions
To add or subtract unlike fractions we first convert them to like fractions
Unlike fractions can converted into like fractions either by finding equivalent fractions or by finding LCM of the denominators.
Add the above unlike fractions
We first find the equivalent fractions of the given unlike fractions
The equivalent fractions of
$52 $
and
$31 $
with the same denominator 15 are as shown
Now add the equivalents fractions of
$52 $
and
$31 $
Let us now Add the above unlike fractions using LCM method,
Since the denominators are not same, first find the LCM of 3 and 5, which is 15
Subtracting Unlike Fractions
Subtract the above two unlike fractions,
Since the denominators are different, let's find the equivalent fractions,
The equivalent fractions of
$52 $
and
$43 $
with the same denominator 20 are as shown
Now subtract the equivalents fractions of
$52 $
and
$43 $
as we did for like fractions as shown
Subtract the above two unlike fractions using LCM method.
Since the denominators are not same, first find the LCM of 5 and 4, which is 20
Revision
Unlike fractions can converted into like fractions either by finding equivalent fractions or by finding LCM
The equivalent fractions of
$52 $
and
$43 $
with the same denominator 20 are as shown
The End