$$\frac{-3}{13}+\frac{15}{17}\times\frac{-3}{13}+\frac{17}{15}$$
$\frac{2317}{3315}\approx 0.698944193$
$$-\frac{3}{13}+\frac{15}{17}\times \frac{-3}{13}+\frac{17}{15}$$
$$-\frac{3}{13}+\frac{15}{17}\left(-\frac{3}{13}\right)+\frac{17}{15}$$
$$-\frac{3}{13}+\frac{15\left(-3\right)}{17\times 13}+\frac{17}{15}$$
$$-\frac{3}{13}+\frac{-45}{221}+\frac{17}{15}$$
$$-\frac{3}{13}-\frac{45}{221}+\frac{17}{15}$$
$$-\frac{51}{221}-\frac{45}{221}+\frac{17}{15}$$
$$\frac{-51-45}{221}+\frac{17}{15}$$
$$-\frac{96}{221}+\frac{17}{15}$$
$$-\frac{1440}{3315}+\frac{3757}{3315}$$
$$\frac{-1440+3757}{3315}$$
$$\frac{2317}{3315}$$
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$\frac{7 \cdot 331}{3 \cdot 5 \cdot 13 \cdot 17} = 0.6989441930618401$
