Question

Multiply and simplify. (12 2/3)(3 1/4)

A) 36 1/12
B) 36 1/6
C) 41 1/12
D) 41 1/6

Answer 1

41 1/6 is the answer lets do it step by step

Explanation:

You are usually taught to multiply the improper fractions and simplify the result.

.. (38/3)*(13/4) = (38/4)*(13/3)

.. = (19/2)*(13/3)

.. = (19*13)/6

.. = 247/6

.. = 41 1/6

You can also multiply the parts.

.. (12 2/3)*(3 1/4) = 12*3 + 12*(1/4) +(2/3)*3 +(2/3)*(1/4)

.. = 36 +3 +2 +1/6

.. = 41 1/6

hope this helps:D

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

~
`\frak{Amphitrite1040:)}`