Transcript text: How many inches are in $3 \frac{1}{2}$ yards?
Solution
Solution Steps
To convert yards to inches, we need to know the conversion factors: 1 yard is equal to 3 feet, and 1 foot is equal to 12 inches. First, convert the given yards to feet, and then convert the feet to inches.
Step 1: Convert Yards to Feet
Given:
\[ \text{yards} = 3.5 \]
We know:
\[ 1 \text{ yard} = 3 \text{ feet} \]
So, we convert yards to feet:
\[ \text{feet} = 3.5 \times 3 = 10.5 \]
Step 2: Convert Feet to Inches
Given:
\[ \text{feet} = 10.5 \]
We know:
\[ 1 \text{ foot} = 12 \text{ inches} \]
So, we convert feet to inches:
\[ \text{inches} = 10.5 \times 12 = 126.0 \]