Question 87642
For ADDITION & SUBTRACTION the FRACTIONS ARE taken as it is  they are given
and the operation is performed .
Example1: Add -1/5 and 2/3
Solution:
STEP 1: -1/5 + 2/3
STEP 2: Take LCM of 5 & 3 which is 15 , now multiply Numerator &Denominator of 1st Fraction by 3 & 2nd Fraction by 5 to make Denominators of both Fractions
equal.
STEP 3:we get -3/15 +10/15 as Denominators of both Fractions are equal we add Numerators.
STEP 4:as signs of -3 & 10 are different we subtract 3 from 10 thus we get
     7/15 as ANSWER
HENCE    -1/5 + 2/3 = 7/15
NOTE: (If signs of two integers are same we ADD them if there signs are different we SUBTRACT smaller from bigger one )

FOR MULTIPLICATION & DIVISION
 Example2: Mutiply -3/4 and 5/7
Solution:
STEP 1: -3/4 X 5/7
WE multiply both Numerators & Denominators of the fractions but before that we reduce them to their lowest terms.
STEP 2:(-3 X 5) /(4 X 7) = -15 / 28
HENCE   -3/4 X 5/7 = -15 / 28  ANSWER

Example3: Divide 4/9 by 10/27
Solution:
STEP 1:  (4/9)/(10/27)
STEP 2:(4/9 X 27/10 )  WE RECIPROCATE THE 2nd fraction to convert Division into Multiplication
STEP 3: ON REDUCING WE GET  6/5 AS ANSWER

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