like fractions


Definition of Like Fractions

  • The different fractions with the same denominator are Like Fractions.

More about Like Fractions

  • Fractions, whose denominators are not the same, are called unlike fractions.
  • To add and subtract like fractions, we simply need to add or subtract the numerators, then we can write the result over common denominator

Example of Like Fractions

  • and are like fractions, as they have the same denominator 7.

Solved Example on Like Fractions

Choose the group of like fractions from the following:
I. , ,
II. , ,
III. , ,
IV. , ,
Choices:
A. I only
B. IV only
C. III only
D. II, III only
Correct Answer: A
Solution:
Step 1: Like fractions have the same denominators.
Step 2: All the three fractions in I have the same denominator 13. So, the fractions in I are like fractions.
Step 3: The denominators of all the three fractions in II have different denominators (i.e., 12, 10, and 11). So, the fractions in II are unlike fractions.
Step 4: The denominators of all the three fractions in III have the different denominators (such as 9, 7, and 10). So, the fractions in III are unlike fractions.
Step 5: The denominators of all the three fractions in IV are 9, 5, and 9. As the denominators of two of the fractions ( and ) are the same and the denominator of the other fraction is not the same like the other two fractions in the group, the fractions in IV are unlike fractions.
Step 6: So, the fractions in the group I are like fractions.

Related Terms for Like Fractions

  • Denominator
  • Fraction
  • Number