1/12 fraction

Which statement about determining the quotient 1/12÷3 is true?

A. Because 1/36×3=1/12, 1/12 divided by 3 is 1/36.

B. Because 1/4×3=1/12, 1/12 divided by 3 is 1/4.

C. Because 3/4×3=1/12, 1/12 divided by 3 is 3/4.

D. Because 4/3×3=1/12, 1/12 divided by 3 is 4/3.

Correct answer:

x = A

Step-by-step explanation:

$$\begin{gathered} e=\frac{1}{12}/3=\frac{1}{12\cdot 3}=\frac{1}{36}\doteq 0.0278 \\ A=\frac{1}{36}\cdot 3=\frac{1\cdot 3}{36}=\frac{3}{36}=\frac{1}{12}\doteq 0.0833 \\ B=\frac{1}{4}\cdot 3=\frac{1\cdot 3}{4}=\frac{3}{4}=0.75 \\ C=\frac{3}{4}\cdot 3=\frac{3\cdot 3}{4}=\frac{9}{4}=2.25 \\ D=\frac{4}{3}\cdot 3=\frac{4\cdot 3}{3}=\frac{12}{3}=4 \\ A=1/12 \\ x=A \end{gathered}$$

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