### Math - Class 4 – Addition of Unlike Fractions/Adding Fractions with Unlike Denominators/Add Fractions with Different Denominators - Key Points/Notes/Worksheets/Explanation/Lesson/Practice Questions

**Tags:**Free downloadable Worksheet PDF on Addition of unlike fractions for class 4, Add fractions with unlike denominators for fourth Grade, How do you add two fractions with different denominators? Lesson on Addition of unlike fractions for 4rth standard , How do you add fractions together? Adding unlike fraction for class IV, Quiz on unlike fractions, Steps to add unlike fractions, How to add unlike fraction.__Addition of Unlike Fractions__**Step 1:**Use LCM method to convert the unlike fractions into like fractions.**Step 2:**Find out new numerators of the given fractions.**Step 3:**Add new numerators.**Step 4:**Write the resulting numerator after addition over the LCM as denominator.**Step5:**If resultant fraction is an improper fraction then convert it into mixed fraction.

1/3 +1/4__Example:__Here denominators are different. So, we will first make denominators of the given fractions equal, using LCM method.

LCM OF 3 and 4

= 3x4

= 12

**Now we have to find out new numerators of the both fractions.**__New Numerator of the first fraction__=LCM ÷ Denominator of the first fraction x Numerator of the first fraction

= 12 ÷ 3 = 4 (LCM ÷ Denominator of the first fraction)

= 4x1 =4 (Resultant answer x Numerator of the first fraction)

New numerator of first fraction is 4

__New Numerator of the second fraction__=LCM ÷ Denominator of the second fraction x Numerator of the second fraction

= 12 ÷ 4 = 3 (LCM ÷ Denominator of the second fraction)

= 3x1 =3 (Resultant answer x Numerator of the second fraction)

New numerator of second fraction is 3

**Now add new numerators**= 4 + 3

= 7

**Then write the resulting numerator after addition over the LCM as denominator.**=7/12

So, sum of 1/3 and 1/4 = 7/12

**Example:**4/7 +2/21 + 31/14Here denominators are different. So, we will first make denominators of the given fractions equal, using LCM method.

LCM OF 7, 21 and 14

7

7, 21, 14

2

1, 3 , 2

3

1, 3, 1

1, 1, 1

= 7 x 2 x 3

= 42

**Now we have to find out new numerators of the all the fractions.**__New Numerator of the first fraction__=LCM ÷ Denominator of the first fraction x Numerator of the first fraction

= 42 ÷ 7 = 6 (LCM ÷ Denominator of the first fraction)

= 6x4 = 24 (Resultant answer x Numerator of the first fraction)

New numerator of first fraction is 24

__New Numerator of the second fraction =__LCM ÷ Denominator of the second fraction x Numerator of the second fraction

= 42 ÷ 21 = 2 (LCM ÷ Denominator of the second fraction)

= 2x2 =4 (Resultant answer x Numerator of the second fraction)

New numerator of second fraction is 4

__New Numerator of the third fraction__=LCM ÷ Denominator of the third fraction x Numerator of the third fraction

= 42 ÷ 14 = 3 (LCM ÷ Denominator of the third fraction)

= 3x31 =93 (Resultant answer x Numerator of the third fraction)

New numerator of third fraction is 93

**Now add all new numerators**= 24 + 4 + 93

= 121

**Then write the resulting numerator after addition over the LCM as denominator.**=121/42

**Now convert the improper fraction into mixed fraction****Note:**- In addition of a whole number and a fractional number, we assume denominator of whole number as 1 for calculation.

- In addition of mixed fractions, convert mixed fraction into improper fraction before starting to add.

__Related Topics__Fraction (Concept of Fractions)

Proper, Improper, Unit, Mixed Fraction

Subtraction Of Unlike Fraction

Properties Of Addition and Subtraction Of Fractions

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