**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 inIhave the same denominator 13. So, the fractions inIare like fractions.

Step 3:The denominators of all the three fractions inIIhave different denominators (i.e., 12, 10, and 11). So, the fractions inIIare unlike fractions.

Step 4:The denominators of all the three fractions inIIIhave the different denominators (such as 9, 7, and 10). So, the fractions inIIIare unlike fractions.

Step 5:The denominators of all the three fractions inIVare 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 inIVare unlike fractions.

Step 6:So, the fractions in the groupIare like fractions.

**Related Terms for Like Fractions**

- Denominator
- Fraction
- Number