simplify using suitable property 2/3×(-4)/5+2/3×(-3)/7
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Given :
(-3)/5 + (4/7 * 3/5) - 4/9 * ( 2/3 * 1/5 ) - 15/16 + ( 1/5 * 4/3 )
To find :
Simply the problem using suitable properties of rational number .
Solution :
This type of problems can be solved using the rule of BODMAS .
=> (-3)/5 + ( 4/7 * 3/5 ) - 4/9 * ( 2/3 * 1/5 ) - 15/16 + ( 1/5 * 4/3 )
=> (-3)/5 + ( 12/35 ) - 4/9 * ( 2/15 ) - 15/16 + ( 4/15 )
=> (-3)/5 + ( 12/35 ) - 8/135 - 15/16 + ( 4/15 )
=> 64/105 - 3/5 - 8/135 - 15/16
=> 1/105 - 8/135 - 15/16
=> (-47)/945 - 15/16
=> -14927 / 15120
(-3)/5 + ( 4/7 * 3/5 ) - 4/9 * ( 2/3 * 1/5 ) - 15/16 + ( 1/5 * 4/3 ) = (-14927)/15120
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