Question
Write the following comparison as a ratio reduced to lowest terms. 223 inches to 19 feet
Ask by French Moreno. in the United States
Jan 20,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The ratio of 223 inches to 19 feet, when simplified, is **223:228**.
Solution
To compare **223 inches** to **19 feet** as a ratio reduced to its lowest terms, follow these steps:
1. **Convert Feet to Inches:**
- Since there are 12 inches in a foot, convert 19 feet to inches:
\[
19 \text{ feet} \times 12 \text{ inches/foot} = 228 \text{ inches}
\]
2. **Form the Ratio:**
- Now, the comparison is between 223 inches and 228 inches:
\[
223 : 228
\]
3. **Simplify the Ratio:**
- Find the greatest common divisor (GCD) of 223 and 228.
- **223** is a prime number, and it does not divide **228** evenly.
- Therefore, the GCD is **1**.
4. **Final Reduced Ratio:**
- Since the GCD is 1, the ratio is already in its lowest terms:
\[
\boxed{223:228}
\]
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Simplify this solution Bonus Knowledge
To compare 223 inches to 19 feet, first convert feet to inches. Since 1 foot equals 12 inches, then 19 feet is equal to 19 × 12 = 228 inches. Now, we have the ratio of 223 inches to 228 inches. To reduce it to lowest terms, divide both numbers by their greatest common divisor. The GCD of 223 and 228 is 1. Therefore, the ratio can be expressed as 223:228, which cannot be reduced further. So, the final answer is 223:228.
