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Answer :
Final answer:
To solve the given expression, subtract 1 pint and 12 ounces from 1 quart, 1 pint, and 6 ounces. Convert the units to have the same unit before subtracting. The final answer is -6 ounces.
Explanation:
To solve the given expression, we need to subtract 1 pint and 12 ounces from 1 quart, 1 pint, and 6 ounces.
First, let's convert 1 quart to pints using the conversion factor: 1 qt = 2 pt.
So, 1 quart = 2 pints.
Next, let's convert 1 pint to ounces using the conversion factor: 1 pt = 16 oz.
So, 1 pint = 16 ounces.
Now, we can rewrite the expression as: 2 pints 6 ounces - 1 pint 12 ounces.
To subtract, we need to have the same unit. Since the units are already the same, we can subtract the quantities directly.
Calculating the difference, we have:
2 pints 6 ounces - 1 pint 12 ounces = 1 pint (subtracting the pints) 6 ounces - 12 ounces = 1 pint 6 ounces - 12 ounces = -6 ounces.
The final answer is -6 ounces.
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Final Answer:
The result of [tex]\(1 \, \text{qt} \, 1 \, \text{pt} \, 6 \, \text{oz} - 1 \, \text{pt} \, 12 \, \text{oz}\)[/tex] is [tex]\(1 \, \text{pt} \, 10 \, \text{oz}.\)[/tex]
Explanation:
To find the difference between [tex]\(1 \, \text{qt} \, 1 \, \text{pt} \, 6 \, \text{oz}\)[/tex] and [tex]\(1 \, \text{pt} \, 12 \, \text{oz},\)[/tex] we start by subtracting the ounces: [tex]\(6 \, \text{oz} - 12 \, \text{oz} = -6 \, \text{oz}.\)[/tex]Since 1 pint is equivalent to 16 ounces, we can convert this difference to pints: [tex]\(-6 \, \text{oz} \div 16 \, \text{oz/pt} = -\frac{3}{8} \, \text{pt}.\)[/tex] Now, subtracting the pints: [tex]\(1 \, \text{pt} - \frac{3}{8} \, \text{pt} = \frac{5}{8} \, \text{pt}.\)[/tex] Finally, the result is [tex]\(1 \, \text{qt} \, \frac{5}{8} \, \text{pt},\)[/tex] or in a more common form, [tex]\(1 \, \text{pt} \, 10 \, \text{oz}.\)[/tex]
In summary, the initial difference in ounces led to a negative fraction in pints. Converting this fraction back to pints and combining it with the original pint value, we arrive at the final result of [tex]\(1 \, \text{pt} \, 10 \, \text{oz}.\)[/tex]
It's essential to convert units consistently throughout the calculation to ensure accurate and meaningful results in the context of measurements.
