Two thirds

Two thirds of the unknown number is 8/7. What is 7/3 of this number?

Correct answer:

a =  4

Step-by-step explanation:

$$\begin{gathered} 2\mathrm{/}3x=8\mathrm{/}7 \\ 2\mathrm{/}3\cdot x=8\mathrm{/}7 \\ 14x=24 \\ x={\displaystyle \frac{12}{7}}\doteq 1.714286 \\ a=7\mathrm{/}3\cdot x=7\mathrm{/}3\cdot 1.7143=4 \end{gathered}$$

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