# Mathematics - Class 4 / Grade 4

- Subtraction of Unlike Fractions
### Subtraction of Unlike Fractions

Math - Class 4 – Subtraction of Unlike Fractions/Subtracting Fractions with Unlike Denominators/Subtract Fractions with Different Denominators - Key Points/Notes/Worksheets/Explanation/Lesson/Practice Questions Tags: Free Worksheet PDF on Subtraction of unlike fractions for class IV, How do we subtract fractions with different denominators? Lesson on Subtraction Of Unlike Fraction, Step to find difference of unlike fractions for class 4, Difference of unlike fractions worksheet PDF, How to subtract unlike fractions, Practice page on subtraction of unlike fractions.Subtraction of Unlike Fractions

Steps to Subtract 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:**Find difference of new numerators.**Step 4:**Write the resulting numerator after subtraction over the LCM as denominator.**Step 5:**If resultant fraction is an improper fraction then convert it into mixed fraction.**Example 1:**

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)

= 4x2 =8 (Resultant answer x Numerator of the first fraction)

New numerator of first fraction is 8

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 subtract new numerators**= 8 - 3

= 5

**Then write the resulting numerator after subtraction over the LCM as denominator.****Example 2:**

Here denominators are different. So, we will first make denominators of the given fractions equal, using LCM method.

LCM OF 7 and 14

7

7, 14

2

1, 2

1, 1

= 7 x 2

= 14

**Now we have to find out new numerators of the fractions.**New Numerator of the first fraction =

LCM ÷ Denominator of the first fraction x Numerator of the first fraction

= 14 ÷ 7 = 2 (LCM ÷ Denominator of the first fraction)

= 2x4 = 8 (Resultant answer x Numerator of the first fraction)

New numerator of first fraction is 8

New Numerator of the second fraction =

LCM ÷ Denominator of the second fraction x Numerator of the second fraction

= 14 ÷ 14 = 1 (LCM ÷ Denominator of the second fraction)

= 1x1 =1 (Resultant answer x Numerator of the second fraction)

New numerator of second fraction is 1

**Now subtract the new numerators**= 8 - 1

= 7

**Then write the resulting numerator after subtraction over the LCM as denominator.****Note:**1. In subtraction of a whole number and a fractional number, we assume denominator of whole number as 1 for calculation.

2. In subtraction of mixed fractions, convert mixed fraction into improper fraction before starting to subtract.

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