Class 6 Maths Fractions | Adding or Subtracting Unlike Fractions |

__Adding or Subtracting Unlike Fractions__

__Addition of Unlike Fractions__

- These fractions have different denominators.
- Firstly, the fractions are converted into equivalent fractions with a common denominator.
- To do so, the LCM of denominators is calculated.
- The fractions are converted into like fractions with a common denominator.
- The common denominator is retained
- The numerators are added.

__Subtraction of Unlike Fractions__

__These fractions have different denominators.__- Firstly, the fractions are converted into equivalent fractions with a common denominator.
- To do so, the LCM of denominators is calculated.
- The fractions are converted into like fractions with a common denominator.
- The common denominator is retained
- The numerators are subtracted.

__Problem__: Solve 2/3 + 1/7

Solution:

These fractions have different denominators.

Firstly, the fractions are converted into equivalent fractions with a common denominator.

To do so, the LCM of denominators is calculated.

So, the fractions are :

= 2*7/3*7 and 1*3/7*3

= 14/21 and 3/21

Adding the numerators we get :

= 14+3/21

= 17/21

So, the answer is 17/21.

__Problem__: A piece of wire 7/8 metre long broke into two pieces. One piece was ¼ metre long. How long is the other piece?

Solution:

Total length of the wire = 7/8 metre

Length of one piece of the wire = ¼ metre

Length of the remaining piece of the wire = 7/8 – ¼

Since these are unlike fractions, they are converted into equivalent fractions with common denominator.

The LCM of 8 and 4 is 8. 7/8 already has the denominator of the value 8. ¼ can be converted into 2/8 by multiplying both the numerator and denominator by 2.

Now, we get :

7/8 – ¼

= 7/8 – 2/8

= (7-2)/8

=5/8 metre

Hence the length of the remaining piece of wire is 5/8 metre

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