subject: Fraction Adding And Substracting [print this page] Introduction for fractions: Introduction for fractions:
A fraction is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on. A much later development were the common or "vulgar" fractions which are still used today (, ?, , etc.) and which consist of a numerator and a denominator Source:-Wikipedia
Fraction Adding and Substracting Examples Problems:
1. Add the two fractions '312/12' and' 324/18'
Solution:
The given two papers fractions' 312/12' and'324/18'
Step1: The given two fractions
='312/12' +'324/18'
Step2: Now we need to find the sum of '312/12' and '324/18'
The LCM of 12 and 18 is 216
='( 312xx18+12xx324)/216'
='(5616+3888)/216'
Step3:Then add up of 5616 and3888 is 9504
='9504/216'
Answers is ='44/1'
2. Add the two fractions '255/16' and '266/15'
Solution:
The given two papers fractions '255/16 ' and '266/15'
Step1: The given two fractions
='255/16' +'266/15'
Step2: Now we need to find the sum of '255/16' and '266/15'
The LCM of 16 and 15 is 240
='(255xx15+16xx266)/240'
='(3825+4256)/240'
Step3:Then add up of 3825 and 4256 is 8081
Answers is ='8081/240'
3 Subtract the two fractions '235/17' and' 244/17'
Solution:
The two given papers fractions are' 235/17' and '244/17'
Step1: The given two fractions
'235/17' -'244/17'
Step2: Now we need to find the differences of '235/7' and '244/17'
= '(235-244)/17'
Step3: The difference up of 235 and 244 is-9
Answers is ='-9/17'
Fraction for Multiplication Division and Equivalent Examples Problems:
1. Multiply the fractions '216/14' and '217/16'
Solution:-
Given we need to multiply the papers fractions '216/14' and '217/16'
Fractions must multiplied using up the formula '(a*c)/(b*d).'
Here a = 216, b = 14, c= 217, d= 16.
=' (axxc)/(bxxd)'
='(216xx217)/(14xx16)' by solving it we get
A ='46872/224'
Answers is= '837/4'
2. Multiply the fractions '227/18' and '226/16'
Solution:-
Given we need to multiply the papers fractions '227/18 ' and '226/16'
Fractions must multiplied using up the formula '(axxc)/(bxxd).'
Here a =227, b = 18, c= 226, d= 16.
= '(axxc)/(bxxd)'
='(227xx226)/(18xx16)' by solving it we get
='51302/288'
Answers is=' 25651/144'
3. Division the fractions '222/16' by '223/18'
Solution:
The given divide papers fractions are '222/16' by '223/18'
To divide two fractions use up the following formula
'(a/b)/ (c/d)' ='(axxd)/(bxxc)'
By comparing the rules and the given fraction we get a=222,b=16c=223d=18
'(a/b)/ (c/d)'= '(222/16)/( 223/18)'
'(axxd)/(bxxc) ' ='(222xx18)/(16xx223)'
= '3996/1338'
Answers is=' 666/223'
4 Find equivalent fractions '218/6'
Solution:
Equivalent papers fractions must multiply numerator and denominator
Denominator is 6 and up the numerator is 218
Multiply a denominator and numerator by 8
='(218xx8)/(6xx8)'
='1744/48'
So the equivalent fractions is '218/6' answers is '1744/48'
