B1. Calculate the quotient of numbers $a$ and $b$, if $a$ is the sum of the numbers $\frac{2}{3}$ and $\frac{3}{4}$, and the number $b$ is the difference between the number 1 and the quotient of the numbers $\frac{2}{3}$ and $\frac{3}{4}$.

(6 points)
B1. We calculate $a=\frac{2}{3}+\frac{3}{4}=\frac{17}{12}$ and $b=1-\frac{2}{3}:\frac{3}{4}=1-\frac{8}{9}=\frac{1}{9}$. We then calculate $\frac{a}{b}=\frac{17}{12}:\frac{1}{9}=\frac{17}{12} \cdot 9=\frac{51}{4}$.

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