In center

What number lies in the center between a quarter of a fifth and a half of a third on the number axis?

Correct answer:

x =  0.1083

Step-by-step explanation:

$$\begin{gathered} a={\displaystyle \frac{1}{4}}\cdot {\displaystyle \frac{1}{5}}={\displaystyle \frac{1}{20}}=0.05 \\ b={\displaystyle \frac{1}{2}}\cdot {\displaystyle \frac{1}{3}}={\displaystyle \frac{1}{6}}\doteq 0.1667 \\ x={\displaystyle \frac{a+b}{2}}={\displaystyle \frac{0.05+0.1667}{2}}={\displaystyle \frac{13}{120}}=0.1083 \end{gathered}$$

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