ADDITION
AND SUBTRACTION OF LIKE FRACTIONS:
a)
Addition of Like Fractions:
Sum
of two or more Like fractions = Sum of Numerators/ Common denominator.
1)
11/14 + 2/14
Solution:
Given:
Numerators of fractions = 11 , 2 ; Common Denominator = 14.
Sum
of numerators = 11 + 2 = 13.
Sum
of the Like fractions = Sum of numerators / Common denominator.
=
13/14.
2)
3/10 + 1/10
Solution:
Given:
Numerators = 3 ,1 ; Common denominator = 10.
Sum
of numerators = 3 + 1 = 4.
Sum
of Like Fractions = Sum of numerators/ common denominator.
= 4/10.
3)
8/17 + 4/17 + 3/17
Solution:
Given:
Numerators = 8, 4, 3; Common denominators = 17.
Sum
of numerators = 8 + 4 + 3 = 15.
Sum
of Like fractions = Sum of numerators / common denominator.
= 15/17.
b)
Subtraction of Like fractions:
Difference
of two Like fractions = Difference of the numerators / Common denominator.
1)
15/21 from 19/21
Solution:
Given:
Numerators = 15, 19 ; Common denominator = 21.
Difference
of the numerators = 19 – 15 = 4.
Difference
of two fractions = Difference of numerators/ common denominator
= 4/21.
2)
7/11 from 9/11
Solution:
Given:
Numerators = 7, 9 ; Common denominator = 11.
Difference
of the numerators = 9 – 7 = 2.
Difference
of two fractions = Difference of numerators / common denominator
= 2/11.
3)
9/13 from 11/13
Solution:
Given:
Numerators = 9, 11; Common denominator = 13.
Difference
of the numerators = 11 – 9 = 2.
Difference
of two fractions = Difference of numerators/common denominator.
= 2/13.
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