A builder is building a fence with 6 LaTeX: \frac{1}{4}1 4 inch-wide wooden boards, arranged side-by-side with no gaps. How many boards are needed to build a fence that is 150 inches long?

24 boards

Step-by-step explanation:

From the above question, the width of a wooden board for a fence = 6 1/4 inches

How many boards are needed to build a fence that is 150 inches long?

This is calculated as:

6 1/4 inches = 1 board

150 inches = x

Cross Multiply

6 1/4 × x = 150 × 1

x = 150 ÷ 6 1/4

x = 150 ÷ 25/4

x = 150 × 4/25

x = 24 boards

Hence, 24 boards would be needed to build a fence that is 150 inches long

step-by-step explanation: