Question

what number should be subtracted from -2 to get 7/11

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Answer 1

$\huge{\mathcal {Answer}}$

Let $\bold {x}$ be subtracted from -2 to get 7/11

Now,
$\sf -2-x=\dfrac{7}{11} \\ \\ \sf -x=\dfrac {7}{11}+2 \\ \\ \sf -x=\dfrac{7+22 }{11} \\ \\ \sf -x=\dfrac {29}{11} \\ \\ \sf x= - \dfrac{29}{11}$

❤hope it helps you ❤

Answer 2

$\sf\underline{Step-by-step \: explanation}$

Let the second number or fraction be x

Forming an equation,

-2 - x =

$\sf\dfrac{7}{11}$

Solving it,

$\sf\dfrac{ - 2}{1} \: - \: x \: = \: \sf\dfrac{7}{11}$

Taking -2/11 to the other side,

$- x \: = \: \sf\dfrac{7}{11} \: + \: \sf\dfrac{2}{1}$

(Sign changes when we take a variable to the other side)

Lcm of 11 and 1 = 11

$-x \: = \: \sf\dfrac{7}{11} \: + \sf\dfrac{2 \: \times \: 11}{1 \: \times \: 11}$

$-x \: = \: \sf\dfrac{7}{11} \: + \: \sf\dfrac{22}{11}$

$-x \: = \: \sf\dfrac{7 \: + \: 22}{11}$

$-x \: = \: \sf\dfrac{29}{11}$

$x \: = \: \sf\dfrac{-29}{11}$