Question

12) By what number should -7/8 we multiply to get 5/12​

Answer 1

ɢɪᴠᴇɴ:

• By what number should -7/8 we multiply to get 5/12

*Let the number be 'x'

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ꜱᴏʟᴜᴛɪᴏɴ:

ATQ,

• $\textbf{-7/8~×~x~=~5/12}$

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf \dfrac{ - 7}{8} \times x = \dfrac{5}{12}$

—Transporting 8 from LHS to RHS

—After transporting, the symbol of that particular numbers becomes opposite. So if 8 was being divided on LHS, it will be multiplied on RHS.

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf - 7 \times x = \dfrac{5}{12} \times 8$

⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf - 7 \times x = \dfrac{5}{\cancel12 ^{3} } \times \cancel8 ^{2}$

⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf - 7 \times x = \dfrac{5}{3} \times 2$

⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf - 7 \times x = \dfrac{10}{3}$

⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀

*Transporting -7 to RHS nd changing it's sign to opposite! (From Multiplication to Division)

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf x = \dfrac{10}{3} \div 7$

⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf x = \dfrac{10}{3} \times \dfrac{1}{ - 7}$

*x = 10/-21

★Therefore, -7/8 should be multiplied by $\bf \purple {10/-21}$ to get 5/12

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${\boxed{\sf{Verification:}}}$

• Keeping value of x as 10/-21 and solving the equation:

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf \dfrac{ - 7}{8} \times \dfrac{10}{ - 21} = \dfrac{5}{12}$

⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf \dfrac{\cancel - 7^{1} }{\cancel 8^{4} } \times \dfrac{\cancel10^{5} }{\cancel - 21^{3} } = \dfrac{5}{12}$

⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀

$~~~~~~~~~$ $\sf \dashrightarrow$ $\sf \dfrac{5}{12} = \dfrac{5}{12}$

★Since LHS=RHS, our equation is correct and value of x is $\bf \purple {10/-21}$

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Answer 2

${\huge{\boxed{\tt{\color {red}{Answer❀✿°᭄}}}}}$

ɢɪᴠᴇɴ:

By what number should -7/8 we multiply to get 5/12

*Let the number be 'x'

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ꜱᴏʟᴜᴛɪᴏɴ:

{-7/8~×~x~=~5/12}-7/8 × x = 5/1

×x= 12/5

—Transporting 8 from LHS to RHS

—After transporting, the symbol of that particular numbers becomes opposite. So if 8 was being divided on LHS, it will be multiplied on RHS.⠀⠀⠀ ⠀ ⠀

*Transporting -7 to RHS nd changing it's sign to opposite! (From Multiplication to Division)

★Therefore, -7/8 should be multiplied by \bf \purple {10/-21}10/−21 to get 5/12

______________________________________

★Since LHS=RHS, our equation is correct and value of x is \bf \purple {10/-21}10/−21