Unknown mixed number

Find the number that is smaller than 5 5/12 by as much as 2 2/13 is smaller than 6 1/6

Correct answer:

x =  1.4038

Step-by-step explanation:

$$\begin{gathered} (5+5\mathrm{/}12)-x=(6+1\mathrm{/}6)-(2+2\mathrm{/}13) \\ 156x=219 \\ x={\displaystyle \frac{73}{52}}\doteq 1.403846={\displaystyle \frac{73}{52}}=1\frac{21}{52}=1.4038 \end{gathered}$$

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