The product 3

The product of two numbers is 15 ⁵/₆. If one of the numbers is 5 ²/₃, find the other.

Correct answer:

b =  2.7941

Step-by-step explanation:

$$\begin{gathered} p=15{\displaystyle \frac{5}{6}}=15+{\displaystyle \frac{5}{6}}={\displaystyle \frac{15\cdot 6+5}{6}}={\displaystyle \frac{95}{6}}\doteq 15.8333 \\ a=5{\displaystyle \frac{2}{3}}=5+{\displaystyle \frac{2}{3}}={\displaystyle \frac{5\cdot 3+2}{3}}={\displaystyle \frac{17}{3}}\doteq 5.6667 \\ p=a\cdot b \\ b=p\mathrm{/}a=15.8333\mathrm{/}5.6667={\displaystyle \frac{95}{34}}=2\frac{27}{34}=2.7941 \end{gathered}$$

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