Question

What fraction of the clockwise revolution does the hour hand of the clock turn through when it goes from: $6$ to $3$

Answer 1

Calculate the angle made by the hour hand

• The total number of markings in a clock for hour hand$=12$
• The hour hand covers a full circle i.e. $360°$
• Angle made by each marking $=\frac{360°}{12}\Rightarrow 30°$
• Angle made for covering from $6$ to $3$ is $9\times 30°\Rightarrow 270°$
• Fraction$=\frac{270°}{360°}=\frac{3}{4}$

Hence, the fraction covered from $6$ to $3$ is $\frac{3}{4}$.