A football field is 160ft wide. Convert the width to yards. Write your answer as a mixed number
The correct answer and explanation is :
To convert the width of a football field from feet to yards, we use the fact that:
1 yard = 3 feet
So, to convert 160 feet to yards:
$$
160 \div 3 = 53 \text{ R }1
$$
This means 160 feet is 53 full yards with a remainder of 1 foot. To express this as a mixed number, we write:
$$
160 \text{ feet} = 53 \frac{1}{3} \text{ yards}
$$
✅ Final Answer: 53 1/3 yards
📘 Detailed Explanation (300+ words):
Converting between units of measurement, such as feet to yards, involves understanding how many of one unit fit into another. In this problem, we are given the width of a football field as 160 feet and are asked to convert that to yards, and to write the answer as a mixed number.
The key fact to remember is:
There are exactly 3 feet in 1 yard.
This means every yard contains 3 feet, so to convert feet into yards, we divide the number of feet by 3.
Let’s perform the division:
$$
160 \div 3 = 53 \text{ remainder } 1
$$
That result tells us that there are 53 complete groups of 3 feet in 160 feet (which is 53 yards), and 1 foot is left over. Since the leftover foot is only a part of a yard, we express it as a fraction of a yard.
One foot out of three feet is:
$$
\frac{1}{3}
$$
So, we write the total in mixed number form as:
$$
53 \frac{1}{3} \text{ yards}
$$
A mixed number consists of a whole number and a proper fraction. In real-life applications, mixed numbers are often used for clarity—especially when dealing with measurements in construction, sports, or tailoring—where both whole units and partial units matter.
Thus, 160 feet = 53 1/3 yards is the correct and complete conversion in mixed number form.