Question

you can lay 7 books of the same length end to end to make a length of $5\frac{1}{4}$ feet. what is the length of each book?

Explanation:

Step1: Convert mixed number to improper fraction

$5\frac{1}{4} = \frac{5\times4 + 1}{4} = \frac{21}{4}$

Step2: Divide total length by number of books

$\text{Length of 1 book} = \frac{21}{4} \div 7 = \frac{21}{4} \times \frac{1}{7}$

Step3: Simplify the expression

$\frac{21}{4} \times \frac{1}{7} = \frac{3}{4}$

Answer:

$\frac{3}{4}$ feet