Answer :
Answer:
41 1/6 is the answer lets do it step by step
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
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{12 \dfrac{2}{3}\times 3\dfrac{1}{4}}[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\mathsf{12 \dfrac{2}{3}\times 3\dfrac{1}{4}}[/tex]
[tex]\mathsf{= \dfrac{12\times3+2}{3}\times \dfrac{3\times4+1}{4}}[/tex]
[tex]\mathsf{= \dfrac{36 + 2}{3} \times \dfrac{12 + 1}{4}}[/tex]
[tex]\mathsf{= \dfrac{38}{3}\times\dfrac{13}{4}}[/tex]
[tex]\mathsf{= \dfrac{38\times13}{3\times4}}[/tex]
[tex]\mathsf{= \dfrac{494}{12}}[/tex]
[tex]\mathsf{= \dfrac{494\div2}{12\div2}}[/tex]
[tex]\mathsf{= \dfrac{247}{6}}[/tex]
[tex]\mathsf{\approx 41 \dfrac{1}{6}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\boxed{\mathsf{Option\ D.)\ 41 \dfrac{1}{6}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]