Fractions

Three-quarters of an unknown number are 4/5. What is 5/6 of this unknown number?

Correct result:

x =  0.8889

Solution:

$$\begin{gathered} 3\mathrm{/}4a=4\mathrm{/}5 \\ a={\displaystyle \frac{4}{5}}\cdot {\displaystyle \frac{4}{3}}={\displaystyle \frac{16}{15}}\doteq 1.0667 \\ x={\displaystyle \frac{5}{6}}\cdot a={\displaystyle \frac{5}{6}}\cdot 1.0667={\displaystyle \frac{8}{9}}=0.8889 \end{gathered}$$

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