Question

Multiply and simplify. A) 36 1/12 B) 36 1/6 C) 41 1/12 or D) 41 1/6

Answer 1

`\large\displaystyle\text{$\begin{gathered}\sf Convert \ 12(2)/(3) \ to \ an \ improper \ fraction. Use \ this \ rule: a (b)/(c)=(ac+b)/(c). \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{(12*3+2)/(3)*3(1)/(4) \ \to \ \ Multiply \ 12* 3 }} \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{(36+2)/(3)*3(1)/(4) \ \to \ \ Add \ 36+2 }} \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{(38)/(3)*3(1)/(4) }} \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf Convert \ 3(1)/(4) \ to \ an \ improper \ fraction. Use \ this \ rule: a (b)/(c)=(ac+b)/(c). \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{(38)/(3)*(3*4+1)/(4) \ \ \to \ \ Multiply \ 3* 4}} \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{(38)/(3)*(12+1)/(4) \ \ \to \ \ Add \ 12+1}} \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{(38)/(3)*(13)/(4)}} \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule:(a)/(b)*(c)/(d)=(ac)/(bd). \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{(38*13)/(3*4) \ \ \to \ \ Multiply }} \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf Simplify \end{gathered}$}`

`\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{(492)/(12)=(247)/(6)= }} \end{gathered}$}\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{41(1)/(6) }} \end{gathered}$}}`

`\large\displaystyle\text{$\begin{gathered}\sf Therefore,the \ \bf{\underline{correct \ option}} \end{gathered}$}\large\displaystyle\text{$\begin{gathered}\sf is \ \bf{\underline{`

Answer 2

`\huge\text{Hey there!}`

`\huge\textbf{Equation:}`

`\mathsf{12 (2)/(3) * 3 (1)/(4)}`

`\huge\textbf{Simplifying:}`

`\mathsf{12 (2)/(3) * 3 (1)/(4)}`

`\mathsf{= (12*3 + 2)/(3)*(3*4+1)/(4)}`

`\mathsf{= (36 + 2)/(3)*(12 + 1)/(4)}`

`\mathsf{= (38)/(3)* (13)/(4)}`

`\mathsf{= (38*13)/(3*4)}`

`\mathsf{= (494)/(12)}`

`\mathsf{= (494/2)/(12/2)}`

`\mathsf{= (247)/(6)}`

`\mathsf{\approx 41 (1)/(6)}`

`\huge\textbf{Therefore, your answer should be:}`

`\huge\boxed{\mathsf{41 (1)/(6)}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`