Question

Sarah paints a straight line. The line is 13 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long. How many sections will the line be divided into?

Answer 1

Step 1: List the given details.

The line is 13 1/2 ft long

The sections of line are each 1/8 ft long

Step 2: Set up an equation to find the number of sections

$Number \; of \; sections \; = \; \frac{Length \; of \; Line}{Length \; of \; each \; section}$

$Number \; of \; sections \; = 13\frac{1}{2}\div \frac{1}{8}$

Step 3: Divide fractions by flipping the second fractions and multiplying it with the first fraction. When multiplying fractions we need to multiply numerator with numerator and denominator with denominator as given below.

$Number \; of \; sections \; = 13\frac{1}{2}\div \frac{1}{8}\\Convert \; mixed \; fraction \; to \; improper \; fraction.\\\\\frac{2 \times 13+1}{2}\div \frac{1}{8}=\frac{27}{2}\div \frac{1}{8}\\\\Flip \; the \; second \; fraction \; and \; multiply \; with \; first \; fraction\\\\\frac{27}{2} \times \frac{8}{1}\\\\Multiply \; numerator \; with \; numerator \; denominator \; with \; denominator\\\\\frac{27 \times 8}{2 \times 1} \\\\\frac{216}{2}=108$

Conclusion:

The number of sections that the line be divided into will be 108.