Question

lily reads \\(\frac{1}{4}\\) of her book in \\(1\frac{1}{3}\\) hours. lily continues to read at this pace. how long does it take lily to read \\(\frac{3}{5}\\) of the book? enter your answer as a mixed number in simplest form by filling in the boxes. \\(square\frac{square}{square}\\) h

Explanation:

Step1: Convert mixed number to improper fraction

$1\frac{1}{3} = \frac{4}{3}$ hours

Step2: Find time for full book

Time for 1 book: $\frac{4}{3} \div \frac{1}{4} = \frac{4}{3} \times 4 = \frac{16}{3}$ hours

Step3: Calculate time for $\frac{3}{5}$ book

Time = $\frac{16}{3} \times \frac{3}{5} = \frac{16}{5}$

Step4: Convert to mixed number

$\frac{16}{5} = 3\frac{1}{5}$

Answer:

$3\frac{1}{5}$ h