Question

Solve it

3/8 + (-5/12) + 3/7 + 3/12 + (-5/8) + (-2/7)

Answer - 23/84

provide explanation!

Answer 1

Hi Friend, Here is the required answer with explanation:-

3/8 + (-5/12) + 3/7 +3/12+ (-5/8) +(-2/7)

Rearranging the terms,

3/8+(-5/8) + (-5/12) + 3/12+3/7-2/7

(-2/8 - 2/12 + 1)/7

(-42 - 28 +24)/ 168

(-70+24)/168

(-46)/168

-23/84.

Hope this helps you...

Answer 2

3/8 + (-5/12) + 3/7 + 3/12 + (-5/8) + (-2/7)

= 3/8 + (-5/8) + (-5/12) + 3/12 + 3/7 + (-2/7)

=[ {3+ (-5)} / 8 ] + [ {(-5) + 3 }/12] + [{3 + (-2) } /7]

[We can write the terms with same denominator under brackets and solve them separately as addition is associative for integers i.e.
a+b+c = (a+b)+c = a+(b+c)]

= (-2/8) + (-2/12) + (1/7)

= -2/8 - 2/12 + 1/7
( as negative (-) × positive (+) = negative (-) )

=[ (-42) - 28 + 24] / 168

[ LCM of 8, 12 , 7 is 168]

= [(-42) - 4 ] / 168

= -46/168

= -23/84