Raju finishes \(\frac{1}{3}\) part of a work in 1 hour. How much part of the work will be finished in \(2\frac{1}{5}\) hours?

Given: 

Raju's work rate: \(\dfrac{1}{3}\) part of the work per 1 hour

Time: 2 \(\dfrac{1}{5}\)hours

Concept used:

Work done = Work rate × Time

Calculation:

Work done = \(\dfrac{1}{3}\)× 2 \(\dfrac{1}{5}\)

To multiply fractions, you multiply their numerators together and their denominators together:

Work done = \(\dfrac{1}{3}\) × \(\dfrac{11}{5}\)

Work done = \(\dfrac{11}{15}\)

∴ Raju will finish \(\dfrac{11}{15}\) part of the work in 2 \(\frac{1}{5}\) hours.