Like Fractions and Unlike Fractions, deals with various concepts which are as under:-

- Like Fractions
- Unlike Fractions
- Example of Like Fractions and Unlike Fractions
- Convert Unlike Fractions into Like Fractions

**Like Fractions**

Like Fractions are the Fractions having same denominators.

For example are Like Fractions.

**Unlike Fractions**

Unlike Fractions are the Fractions having different denominators.

For example are Unlike Fractions.

### Like Fractions and Unlike Fractions

### Example of Like Fractions and Unlike Fractions

**Example 1**

Are the following fractions are Like Fractions or Unlike Fractions?

, and

**Solution**

In case of Like Fraction, the denominator of the fractions are the same.

While, In case of Unlike Fraction denominator of the fractions are not same.

In the present case, the given fractions are

, and

Since, the Denominator in the present cases is 3 , which is the same for all fractions, the given fractions are Like Fractions

**Example 2**

Are the following fractions are Like Fractions or Unlike Fractions?

, and

**Solution**

In case of Like Fraction, the denominator of the fractions are the same.

While, In case of Unlike Fraction denominator of the fractions are not same.

In the present case, the given fractions are

, and

Since the Denominator in the present cases are 5 , 6 , 7 which are not same. So, the given fractions are Unlike Fractions

### Convert Unlike Fractions to Like Fractions

**Example 1**

Convert and into Like Fractions.

**Solution**

Step1: Find LCM of the denominators.

LCM of 5 and 6 is 30

Step 2: Divide the LCM by the denominators of the given Fractions

=

Step 3: Multiply the quotient by the numerator and keep denominator equal to the LCM. i.e.

=

=

So, and are Like Fractions

**Example 2**

Convert and into Like Fractions.

**Solution**

Step1: Find LCM of the denominators.

LCM of 5 and 7 is 35

Step 2: Divide the LCM by the denominators of the given Fractions

=

Step 3: Multiply the quotient by the numerator and keep denominator equal to the LCM. i.e.

=

=

So, and are Like Fractions

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