Question

What number should be added to -5/6 to get 3/2
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Answer 1

✯✯ QUESTION ✯✯

What number should be added to $\dfrac{-5}{6}$ to get $\dfrac{3}{2}$

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✰✰ ANSWER ✰✰

$⇢Given\:No.=\dfrac{-5}{6}$

$⇢Sum\:of\:No.=\dfrac{3}{2}$

$⇢Let\:other\:No.=x$

☛A.T.Q : -

$⇢\dfrac{-5}{6}+x=\dfrac{3}{2}$

$⇢x=\dfrac{3}{2}+\dfrac{5}{6}$

$⇢x=\dfrac{9+5}{6}$

$⇢x=\cancel\dfrac{14}{6}⟹\dfrac{7}{3}$

$\small{\bold{\bold{\bold{\pink{\sf{x=\dfrac{7}{3}}}}}}}$

☛Verification : -

$⇢\dfrac{7}{3}+\dfrac{(-5)}{6}$

$⇢\dfrac{7}{3}-\dfrac{5}{6}$

$⇢\dfrac{14-5}{6}⟹\dfrac{9}{6}$

$⇢\cancel\dfrac{9}{6}⟹\dfrac{3}{2}$

✺ HENCE VERIFIED ✺

Answer 2

Let the required number be n .

Then,

$\frac{ - 5}{6} + n = \frac{3}{2} \\ \\ n = \frac{3}{2} - \bigg( \frac{ - 5}{6} \bigg) \\ \\ n = \frac{9 - ( - 5)}{6} = \frac{9 + 5}{6} = \red{ \frac{14}{6}}$