62 62 quarts = = gallons + + quarts = = gallons (rounded to one decimal)
The Correct Answer and Explanation is:
To convert 62 quarts into gallons and quarts, we use the fact that:
1 gallon = 4 quarts
Step 1: Divide quarts by 4 to get gallons
62÷4=15 R 262 \div 4 = 15 \text{ R }262÷4=15 R 2
This means:
- 62 quarts is 15 full gallons
- With a remainder of 2 quarts
So,62 quarts=15 gallons and 2 quarts62 \text{ quarts} = 15 \text{ gallons and } 2 \text{ quarts}62 quarts=15 gallons and 2 quarts
Step 2: Convert to gallons only (rounded to one decimal)
62÷4=15.5 gallons62 \div 4 = 15.5 \text{ gallons}62÷4=15.5 gallons
So,62 quarts=15.5 gallons (rounded to one decimal)62 \text{ quarts} = 15.5 \text{ gallons (rounded to one decimal)}62 quarts=15.5 gallons (rounded to one decimal)
Final Answers:
- 62 quarts = 15 gallons + 2 quarts
- 62 quarts = 15.5 gallons (rounded to one decimal)
Explanation:
Understanding liquid volume conversions is essential in fields like cooking, science, and nursing. In the U.S. customary system, liquid volume is often measured in quarts and gallons, where 4 quarts make 1 gallon. To convert quarts into gallons, we divide the total number of quarts by 4.
For the given example, we start with 62 quarts. When we divide 62 by 4, the quotient is 15 with a remainder of 2. This tells us that 62 quarts contains 15 full gallons and an extra 2 quarts that do not complete another gallon.
To express this in mixed units, the result is 15 gallons and 2 quarts. This format is useful when you want to preserve both larger and smaller units in measurement.
However, sometimes we need to express the entire quantity in gallons only. In this case, we perform division as a decimal. Dividing 62 by 4 gives exactly 15.5 gallons. This means there are fifteen and a half gallons in 62 quarts.
Rounding to one decimal place makes the measurement cleaner and often more practical for real-world applications. Using this method is especially helpful in medical dosages or recipes that need precise yet simple volume descriptions. Thus, whether you need a mixed number or a rounded decimal, understanding the conversion helps you work accurately and confidently.
