Question

-2/3 + [3/5 + -5/7]
HELP

Answer 1

`\huge\text{Hey there\bf!}`

`\mathsf{-(2)/(3) + [(3)/(5) + -(5)/(7)]}`

`\mathtt{= - (2)/(3) + (3)/(5) + - (5)/(7)}`

`\mathtt{= - (2)/(3) + (3)/(5) - (5)/(7)}`

`\mathtt{-(2*35)/(3*35) + (3*21)/(5*21) - (5*15)/(7*15)}`

`\mathtt{= -(70)/(105) + (63)/(105)- (75)/(105)}`

`\mathtt{= (-70 + 63 - 75)/(105 + 0 - 0)}`

`\mathtt{= (-7 - 75)/(105 - 0)}`

`\mathtt{= (-82)/(105)}`

`\mathtt{= -(82)/(105)}`

`\huge\text{Therefore your answer should be:}`

`\huge\boxed{\mathtt{\mathtt{= -(82)/(105)}}}\huge\checkmark`

~

Answer 2

`=-(82)/(105)`

Explanation:

`-(2)/(3)+\left[(3)/(5)+\left(-(5)/(7)\right)\right]`

`(3)/(5)+\left(-(5)/(7)\right)`

`=-(4)/(35)`

`=-(2)/(3)-(4)/(35)`

`=-(82)/(105)`