Question

Which expression is equivalent to the expression below? 4 x 2/3 A.

A. 6 x 1/3
B.10 x 1/3


C. 2 x 1/3


D. 8 x 1/3

Answer 1

`\huge\text{Hey there!}`

`\huge\textbf{Equation:}`

`\mathbf{4* (2)/(3)}`

`\huge\textbf{Simplifying it:}`

`\mathbf{4* (2)/(3)}`

`\mathbf{= (4)/(1)*(2)/(3)}`

`\mathbf{= (8)/(3)}`

`\rightarrow\large\text{Finding out what is equal to: }\rm{(8)/(3)}\leftarrow`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`\huge\text{Option A.}`

`\mathbf{6* (2)/(3)}`

`\mathbf{= (6)/(1)*(1)/(3)}`

`\mathbf{= (6*1)/(1*3)}`

`\mathbf{= (6)/(3)}`

`\mathbf{= 2}`

~~~~~

`\rm{\bf 2 \\eq (8)/(3)}`

~~~~~~

`\huge\text{Option B.}`

`\mathbf{10* (1)/(3)}`

`\mathbf{= (10)/(1)*(1)/(3)}`

`\mathbf{= (10*1)/(1* 3)}`

`\mathbf{= (10)/(3)}`

~~~~~~

`\rm{\bf (10)/(3) \\eq (8)/(3)}`

~~~~~~

`\huge\text{Option C.}`

`\mathbf{2*(1)/(3)}`

`\mathbf{= (2)/(1)*(1)/(3)}`

`\mathbf{= (2*1)/(1*3)}`

`\mathbf{= (2)/(3)}`

~~~~~

`\rm{\bf (2)/(3) \\eq (8)/(3)}`

~~~~~

`\huge\text{Option D.}`

`\mathbf{8*(1)/(3)}`

`\mathbf{= (8)/(1)*(1)/(3)}`

`\mathbf{= (8*1)/(1*3)}`

`\mathbf{= (8)/(3)}`

~~~~~

`\rm{(8)/(3) = (8)/(3)}\large\checkmark`

~~~~~

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

`\huge\boxed{\frak{Option\ D. 8* (1)/(3)}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`