and Unlike Fractions
with the same denominators (bottom numbers) are called like fractions.
2/15, 7/15 and 13/15 are like fractions with
the same denominators (bottom numbers).
1/4, 2/8, 3/12 etc. are not like fractions,
although when simplified, they all result in 1/4.
5/11 and 5/21 are not like fractions
because numerators are same but denominator are not.
Whole number such as 3, 6, 7 etc. are like
fractions since their denominators are considered as 1.
with different denominators (bottom numbers) are called unlike fractions.
7/15, 11/5 and 13/11 are unlike fractions with
the different denominators (bottom numbers).
Comparing Like Fractions
In case of like fractions,
the fraction with the greater numerator is greater.
Example: Which is the larger fraction?
These fractions have same
denominators, so we will compare the numerators.
Second fraction has larger
numerator, so it is greater.
Comparing Unlike Fractions
1. Find the LCM (Least Common Multiple) of the denominators of the
2. Convert the given fractions to equivalent fractions with
denominator equal to the LCM (least common multiple) obtained in Step 1.
3. Compare the numerators
of the equivalent fractions whose denominators are same.
Example: Compare 4/5 and 5/6.
Solution: Given fractions are unlike fractions.
LCM (least common multiple) of the denominators 5
LCM = 5 X 2 X 3 = 30
Now, we convert the given
fractions to equivalent fractions with denominator 30.
Compare the numerators,
Example: Tom read 25 pages of a book containing 100 pages. Sam read 3/5 of the
same book. Who read more?
Solution: Number of
pages read by Tom = 25 pages
Number of pages read by Sam = 3/5 x 100
Hence, Sam read more pages.