Questions: Michael reads 1/8 of a book each night. How many nights will it take him to read 1 3/4 books?

Solution Steps

To determine how many nights it will take Michael to read \(1 \frac{3}{4}\) books, we need to convert the mixed number to an improper fraction and then divide by the fraction of the book he reads each night.

The mixed number \(1 \frac{3}{4}\) can be converted to an improper fraction: \[ 1 \frac{3}{4} = \frac{4 \cdot 1 + 3}{4} = \frac{7}{4} \]

Michael reads \(\frac{1}{8}\) of a book each night.

To find the total number of nights required to read \(1 \frac{3}{4}\) books, we divide the total number of books by the fraction read each night: \[ \text{Nights} = \frac{\frac{7}{4}}{\frac{1}{8}} = \frac{7}{4} \cdot \frac{8}{1} = \frac{56}{4} = 14 \]

Final Answer