Question

Which expressions are equivalent to the expression below?

-1/3 - (-4 + 1/6)
There are more then one answer
your choices are
A. 1/6 - 1/3 - 4
B. -1/3 + 4 + 1/6
C. -(1/3 - 1/6) +4
D. -1/3 - 1/6 + 4
E. -1/3 - (4 - 1/6)
F. 4 - (1/3 + 1/6)

Answer 1

Given :-

• -1/3 - ( -4 + 1/6 )

To Find :-

• The expression that is equivalent to one of the choices given .

Solution :-

As we know that ,

→ (-) × (-) = (+)

→ (-) × (+) = (-)

→ (+) × (-) = (-)

→ (+) × (+) = (+)

On using these open the brackets ,

→ -1/3 - 1( -4 + 1/6 )

→ -1/3 - 1(-4) + -1(+1/6)

→ -1/3 (-)(-)(1* 4) (+)(-) (1*1/6)

On using now above stated rules ,

→ -1/3 +4 -1/6

Somewhat rearrange ,

→ 4 -1/3 -1/6

Take (-) as common,

→ 4 - (1/3 +1/6)

Hence Option (d) & (f) are correct .

I hope this helps.