Question

what must be added to -3/8 to get 5/12 please give the answer step by step​

Answer 1

$\large\sf\underline{Given\::}$

• $\sf\:\frac{-3}{8} + a\:number \:=\frac{5}{12}$

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$\large\sf\underline{To\:find\::}$

• Value of that number

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$\large\sf\underline{Assumption\::}$

• Let the number be x.

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$\large\sf\underline{Solution\::}$

$\sf\:\frac{-3}{8} + x \:=\frac{5}{12}$

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• LCM of 8 and 1 in LHS

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$\sf\implies\:\frac{-3+8x}{8} \:=\frac{5}{12}$

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• Cross multiplying

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$\sf\implies\:12(-3+8x) \:=8 \times 5$

$\sf\implies\:-36+ 96x\:=40$

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• Transposing (-36) to the other side

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$\sf\implies\: 96x\:=40+36$

$\sf\implies\: 96x\:=76$

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• Transposing 96 to the other side

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$\sf\implies\: x\:=\cancel{\frac{76}{96}}$

$\sf\implies\: x\:=\cancel{\frac{38}{48}}=\frac{19}{24}$

$\large{\mathfrak\red{\implies\:x\:=\:\frac{19}{24}}}$

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‎_____________________

$\large\sf\underline{Verifying\::}$

$\sf\:\frac{-3}{8} + x \:=\frac{5}{12}$

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• Substituting the value of x as $\sf\:\frac{19}{24}$

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$\sf\implies\:\frac{-3}{8} + \frac{19}{24} \:=\frac{5}{12}$

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• LCM of 8 and 24 in LHS

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$\sf\implies\: \frac{-9+19}{24} \:=\frac{5}{12}$

$\sf\implies\: \cancel{\frac{10}{24}} \:=\frac{5}{12}$

$\sf\implies\: \frac{5}{12} \:=\frac{5}{12}$

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$\small\fbox\blue{Hence\:Verified}$

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$\dag\:\underline{\sf So\:the\:required\:value\:of\:x\:is\:\frac{19}{24}.}$

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!! Hope it helps !!

Answer 2

Step-by-step explanation:

5/12-(-3/8)

5/12+3/8

(10+9)÷24

19/24

here is ur answer .