$$1\frac{1}{24}-1+\frac{7}{26}$$
$\frac{97}{312}\approx 0.310897436$
$$\frac{24+1}{24}-1+\frac{7}{26}$$
$$\frac{25}{24}-1+\frac{7}{26}$$
$$\frac{25}{24}-\frac{24}{24}+\frac{7}{26}$$
$$\frac{25-24}{24}+\frac{7}{26}$$
$$\frac{1}{24}+\frac{7}{26}$$
$$\frac{13}{312}+\frac{84}{312}$$
$$\frac{13+84}{312}$$
$$\frac{97}{312}$$
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$\frac{97}{2 ^ {3} \cdot 3 \cdot 13} = 0.3108974358974359$