Question

plz answer this.,.........​

Answer 1

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★ Solution :-

Let the dividend be x

Now , in mathematical form

( - 12)⁻¹ ÷ x = ( -4)⁻¹

It can be written as

→ ( 1/- 12 ) ÷ x = - ¼

[ °.° a⁻¹ = 1/a ]

→ - 1/12x = - ¼

→ 1/12x = 1/4

By cross - multiplying

→ 4 = 12x

→ x = 4 ÷ 12

[°.° A number multiplied with a variable and transposed to LHS or RHS it will divide the number at LHS or RHS ]

→ x = 1/3 or 3⁻¹

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★ Verification :-

Substituting the value of x in the given question.

→ ( - 12)⁻¹ ÷ x = ( - 4)⁻¹

→ -12⁻¹ ÷ x = 1/(-4)

→ - 12⁻¹ ÷ x = - ¼

Taking LHS & substituting the value of x

→ - ( 12⁻¹/3⁻¹ )

→ - [ ( 1/12 )/( 1/3 ) ]

→ - [ 3/12 ]

→ - ¼

Now , comparing with RHS

LHS = RHS

Hence , verified !

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Answer 2

$\sf{\bold{\purple{\star{\underline{\underline{Solution}}}}}}$

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• let the number to be divided be x

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Acc. to the question

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$\sf : \implies\:{\frak{ -12^{-1} \div x = -4^{-1} }}$

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• a^-1 = 1 / a

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$\sf : \implies\:{\frak{\dfrac{ 1}{-12} \div x =\dfrac{1}{-4} }}$

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$\sf : \implies\:{\frak{\dfrac{ 1}{-12} \times \dfrac{1}{x} =\dfrac{1}{-4} }}$

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$\sf : \implies\:{\frak{\dfrac{1}{x} =\dfrac{1\times -12 }{-4\times - 1} }}$

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$\sf : \implies\:{\frak{\dfrac{ 1}{x} = 3 }}$

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$\sf : \implies\:{\frak{x = \dfrac{1}{3} }}$

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$\sf : \implies\:{\frak{ x = 3^{-1} }}$

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$\sf{\star{\boxed{\orange{\frak{ required \: number = 3^{-1}}}}}}$

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