Let's break down the steps for converting 100 yards to meters using the given conversion factors:
1. Convert yards to feet:
- We know that 1 yard is equivalent to 3 feet.
- Thus, [tex]\( \frac{100 \text{ yards}}{1} \times \frac{3 \text{ feet}}{1 \text{ yard}} \)[/tex] gives us 300 feet.
2. Convert feet to inches:
- We know that 1 foot is equivalent to 12 inches.
- Thus, [tex]\( 300 \text{ feet} \times \frac{12 \text{ inches}}{1 \text{ foot}} \)[/tex] gives us 3600 inches.
3. Convert inches to centimeters:
- We know that 1 inch is equivalent to 2.54 centimeters.
- Thus, [tex]\( 3600 \text{ inches} \times \frac{2.54 \text{ cm}}{1 \text{ inch}} \)[/tex] gives us 9144 centimeters.
4. Convert centimeters to meters:
- We know that 100 centimeters is equivalent to 1 meter.
- Thus, [tex]\( 9144 \text{ cm} \times \frac{1 \text{ meter}}{100 \text{ cm}} \)[/tex] gives us 91.44 meters.
Putting it all together, the complete steps for converting 100 yards to meters are:
[tex]\[
\frac{100 \text { yards }}{1} \times \frac{3 \text{ feet }}{1 \text{ yard}} \times \frac{12 \text{ inches}}{1 \text{ foot}} \times \frac{2.54 \text{ cm}}{1 \text{ inch}} \times \frac{1 \text{ meter}}{100 \text{ cm}} = 91.44 \text{ meters}
\][/tex]
So the fully completed equation is:
[tex]\[
\frac{100 \text { yards }}{1} \times \frac{3 \text { feet }}{1 \text { yard }} \times \frac{12 \text { inches }}{1 \text { foot }} \times \frac{2.54 \text { cm }}{1 \text { inch }} \times \frac{1 \text { meter }}{100 \text { cm }} = 91.44 \text { meters }
\][/tex]
