**Fractions**

Addition and Subtraction of Fractions

**Addition of fractions with the same denominator**

Let us understand the addition of fractions having the same denominator by the following example.

**Example:**

Fraction that represents blue coloured part of the circle is

Fraction that represents total coloured part of the circle is

so,

**To add the fractions with the same denominator, add the numerators and keep the denominator as it is.**

**Addition of fractions with different denominator**

Let us understand the addition of fractions having different denominators by the following example.

**Example:**

Fraction that represents the blue coloured part of the circle is

Fraction that represents total coloured part of both the circles is

**Since denominators (size of each part) are different, we cannot add numerators directly.**

So, we need to make denominators equal.

LCM of 6 and 8 = 24

Divide both the circles in 24 equal parts.

Fraction that represents the blue coloured part of the circle is

Fraction that represents the total-coloured part of both the circles is

**To add or subtract fractions, we need to make the denominators equal by using LCM of the
denominators, and then add or subtract the numerators. **

**Subtraction of fractions with the same denominator**

Let us understand the subtraction of fractions having the same denominator by the following example.

**Example:**

Fraction that represents the blue coloured part of the circle is

There is one blue coloured part more than the red coloured parts.

**To subtract the fractions with the same denominator, subtract the numerators and keep the
denominator as it is.**

**Subtraction of fractions with the different denominator**

Let us understand the subtraction of fractions having different denominators by the following example.

**Example:**

**Since denominators (size of each part) are different, we cannot subtract numerators directly.**

So, we need to make denominators equal.

LCM of 6 and 8 = 24

Divide both the circles in 24 equal parts.

Fraction that represents the blue coloured part of the circle is

Now,

There are six more blue parts than red coloured parts.

**To add or subtract fractions, we need to make the denominators equal by using LCM of the
denominators, and then add or subtract the numerators. **

**Rule for addition/ subtraction of fractions:**

**Step 1:**Check whether denominators are the same or not. If not, make the denominators the same by finding the LCM of denominators.**Step 2:**After making denominators the same, do the addition/subtraction of numerators.**Step 3:**Retain the same denominator.

**Misconception:**

A common misconception in the addition/subtraction of fractions is adding/subtracting different denominators.

When adding or subtracting fractions, very first important rule is to make common denominators.

** Did you know?**