subject: Subtracting Fractions With Like Denominators [print this page] Introduction of subtracting fractions with like denominators:
Subtracting fractions with denominators deals with the common fraction denominator. The fractions may consist of numerator and denominator, one or more fractions with same denominators is said to be like denominators. The rules for subtracting fractions with like denominators shown below:
subtracting fraction with like denominators
In this figure' a/b' and 'c/b' are the fractions. In which b is in denominator places. Both fractions has the same denominator b. Hence this fractions are said to be like denominators.
Example of subtracting fractions with like denominators.
'2/5' and '6/5' here 2 and 6 are in the numerator place, 5 is in denominator place. These fractions has the common. denominators.So,
'2/5' - '6/5' = '(2-6)/5' = '-4/5' .
Problems Using Subtracting Fractions with Like Denominators
Simplify using subtracting fractions with like denominators.
Problems (i) '6/8' - '7/8'
Solution: subtracting fractions with like denominators.
'6/8' - '7/8'
'= 6/8' - '7/8' here the fractions are in the like denominators. This is the easiest method to subtracting fractions with like denominators
= '(6-7)/8'
= '-1/8' when subtraction 6-7 is -1
'= -1/8.'
Problems (ii) '9/4' - '5/4'
Solution: subtracting fractions with like denominators
'9/4' - '5/4'
=' 9/4' - '5/4 ' here the fractions are in the like denominators. This is the easiest method to subtracting fractions with like denominators
'= (9-5)/4'
'= 4/4 ' when subtraction 9-5 is 4
=' 4/4' . when divide 2 on both numerator and denominator is 1
=1.
Problems (iii) '2/5' - '3/5'
Solution: subtracting fractions with like denominators
'2/5' - '3/5'
= '2/5' - '3/5' here the fractions are in the like denominators. This is the easiest method to subtracting fractions with like denominators
= '(2-3)/5'
= '-1/5' when subtraction 2-3 is -1
='-1/5' .
Problems (iv) '4/7' - '5/7'
Solution: subtracting fractions with like denominators
'4/7' - '5/7'
= '4/7' - '5/7' here the fractions are in the like denominators. This is the easiest method to subtracting fractions with like denominators
= '(4-5)/7'
= -'1/7' when subtraction 4-5 is -1
=-'1/7.'
Problems Using Subtracting Fractions with Like Denominators in Double Digits
Problems (i) '19/18' - '27/18'
Solution: subtracting fractions with like denominators.
'19/18' - '27/18'
= '19/18' - '27/18' here the fractions are in the like denominators. This is the easiest method to subtracting fractions with like denominators
= '(19-27)/18'
= '-8/18' when subtraction 19-27 is -8
=' -8/18'
=' -4/9' in this step we can divide 2 in both numerator and denominator.
Problems (ii)' 25/16' - '35/16'
Solution: subtracting fractions with like denominators.
'25/16 ' - '35/16'
= '25/16' - '35/16' here the fractions are in the like denominators. This is the easiest method to subtracting fractions with like denominators
= '(25-35)/16'
= -'10/16' when subtraction 25-35 is -10
= -'10/16'
= '-5/8' in this step we can divide 2 in both numerator and denominator.
