Question

Express the septenary fraction $\frac{1552}{2626}$ as a denary vulgar fraction in its lowest terms.

Answer 1

$1552$ from the scale of seven to decimal is $2\times 7^0+5\times 7^1+5\times 7^2+1\times 7^3=625$

$2626$ from the scale of seven to decimal is $6\times 7^0+2\times 7^1+6\times 7^2+2\times 7^3=1000$

Hence, the fraction is $\frac{625}{1000}=\frac{5}{8}$