Question
Which simplified ratio correctly compares 30 inches to 2 feet? 1 foot \( =12 \) inches \( 5: 4 \) \( 1: 15 \) \( 4: 5 \) \( 15: 1 \)
Ask by Edwards Savage. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
La relación simplificada correcta es \( 5 : 4 \).
Solution
Para comparar 30 pulgadas con 2 pies, primero convertimos los pies a pulgadas:
\[ 2 \text{ pies} \times 12 \text{ pulgadas/pie} = 24 \text{ pulgadas} \]
Ahora, la relación es 30 pulgadas : 24 pulgadas. Simplificando dividiendo ambos términos por 6:
\[ \frac{30}{6} : \frac{24}{6} = 5 : 4 \]
Por lo tanto, la relación simplificada correcta es:
**\( 5 : 4 \)**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To compare 30 inches to 2 feet, first convert 2 feet into inches. Since 1 foot equals 12 inches, 2 feet would be \( 2 \times 12 = 24 \) inches. Now your ratio is 30 inches to 24 inches, which simplifies to \( \frac{30}{24} = \frac{5}{4} \) when you divide both sides by 6. Thus, the correct simplified ratio is \( 5:4 \). Using ratios like this can help simplify many real-world comparisons. For example, if you're cooking and need to adjust a recipe that serves 4 people to serve 5, knowing how to calculate ratios allows you to maintain the correct proportions of ingredients and avoid any culinary mishaps!
