Solve it
3/8 + (-5/12) + 3/7 + 3/12 + (-5/8) + (-2/7)
Answer - 23/84
provide explanation!
Answers
Answered by
6
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...
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...
mysticd:
Put = in front of each line
Put bracket to (-42-28+24)/168
=(-70+24)/168
Ok sir
Answered by
1
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
= 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
Hey, in the last step it should be -23/ 84
oops...
I'll edit it
ok
U can simply -2//8=-1/4, and 2/12=1/6 then u can get small numbers
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