Question

A log whose length is 60 inches is cut into 3 pieces in the ratio 1:3:5. What is the number of inches in the length of the shortest piece?
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Answer 1

$\bf \cfrac{60}{1+3+5}\implies \cfrac{20}{3}\implies 6\frac{2}{3}\qquad \qquad \qquad \stackrel{\stackrel{1\cdot \frac{20}{3}}{}}{\frac{20}{3}}~:~\stackrel{\stackrel{3\cdot \frac{20}{3}}{}}{20}~:~\stackrel{\stackrel{5\cdot \frac{20}{3}}{}}{\frac{100}{3}}$