Question

Find the difference :-
-19/9 - 6/1​

Answer 1

Answer:

$\underline{\boxed{\dfrac{-73}{9}}}}$

Step-by-step explanation:

$\underline{\underline{\mathsf{Given\:to}}}$

$\mathsf{Difference\: between\: \dfrac{-19}{9}\: and \: \dfrac{6}{1}}$

$\underline{\underline{\mathsf{Solution}}}$

$\mathsf{\dfrac{-19}{9} - \dfrac{6}{1} \: = \?}$

$\mathsf{\implies Now \: to \: find \: the \: difference\: we\: need\: to\: the\: convert\: the \: terms \: to \: like \: terms}$

$\implies \textsf{Now for that we need to equalise the denominator of both term}$

$\implies \textsf{To do that we need to find LCM of both denominator and convert the fractions to its current value}$

$\underline{\textsf{Therefore}}$

$\textsf{Here 9 and 1 are denominator and LCM(9,1) = 9}$

$\underline{\textsf{Therefore we have}}$

$\mathsf{\dfrac{-19}{1} - \dfrac{6}{1}}$

$\implies \mathsf{\dfrac{-19 - (6 \times 9)}{9}}$

$\implies \mathsf{\dfrac{-19 - 54}{9}}$

$\implies \mathsf{\dfrac{-73}{9}}$

$\underline{\mathsf{Therefore\: required\:answer\:is}}$

$\underline{\underline{\boxed{\dfrac{-73}{9}}}}$

Answer 2

Answer:-

$\mathsf{Find \: the \: difference = - \frac{19}{6} \: and \: \frac{6}{1} }$

$\mathsf{ - \frac{19}{9} - \frac{6}{1} }$

[LCM = 9]

$\mathsf = { - \frac{19}{9} - \frac{54}{9} }$

$\mathsf = { \frac{ - 19 - 54}{9} }$

$\mathsf = { \frac{ - 73}{9} }$

$\boxed{Answer \: :- \frac{ - 73}{9} }$