### Addition Of Unlike fractions

**Tags:**Free Worksheet PDF on Addition of unlike fractions for class 4, Lesson on Addition of unlike fraction , 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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