Question

Which number should be subtracted from -2/3 to get -1/6?

Answer 1

Answer:

-1/2 will be subtracted from -2/3 to get -1/6

Step-by-step explanation:

Let the number subtracted be x

-2/3 - x = -1/6

-x = -1/6 + 2/3

Taking LCM,

-x = (-1+4)/6

-x = 3/6

-x = 1/2

minus sign with x will be transferred to RHS

hence the required number is -1/2

Answer 2

$\large \green{ \sf \underline{ \underline{ \: Answer : \: \: \: }}}$

$\large{ \star}$The required number is -1/2

$\large \green{ \sf \underline{ \underline{ \: Solution : \: \: \: }}}$

Let , the required number be x

By the given condition ,

$\sf \implies- \frac{2}{3} - x = - \frac{1}{6} \\ \\\sf \implies - x = - \frac{1}{6} + \frac{2}{3} \\ \\\sf Taking \: LCM \: , \: we \: obtain \\ \\ \sf \implies - x = \frac{ - 1 + 4}{6} \\ \\\sf Multiplying \: both \: side \: by \: minus \: sign \: ( - ) \\ \\\sf \implies - x = \frac{ \cancel3 }{\cancel6} \\ \\\sf \implies x = - \frac{1}{2}$

Thus , the required value is -1/2

$\large \green{ \sf \underline{ \underline{ \: Verification : \: \: \: }}}$

Put the value of x in the given condition , we get

$\sf \implies - \frac{2}{3} - x = - \frac{1}{6} \\ \\\sf \implies - \frac{2}{3} - ( - \frac{1}{2} ) = - \frac{ 1}{6} \\ \\\sf \implies - \frac{2}{3} + \frac{1}{2} = - \frac{1 }{6} \\ \\\sf \implies - \frac{1}{6} = - \frac{1}{6}$

Hence verified