How many ounces are in 8 1/4 pints?
Understand the Problem
The question is asking to convert 8 1/4 pints into ounces. To solve this, we will first convert the mixed number into an improper fraction and then use the known conversion factor of pints to ounces, knowing that 1 pint is equivalent to 16 ounces.
Answer
The answer is \(132\) ounces.
Answer for screen readers
The final answer is (132) ounces.
Steps to Solve
- Convert the mixed number to an improper fraction
To convert the mixed number (8 \frac{1}{4}) to an improper fraction, we multiply the whole number by the denominator and add the numerator. The calculation is as follows: $$ 8 \times 4 + 1 = 32 + 1 = 33 $$ So, (8 \frac{1}{4}) can be expressed as the improper fraction (\frac{33}{4}).
- Use the conversion factor from pints to ounces
We know that 1 pint equals 16 ounces. To convert the improper fraction (\frac{33}{4}) pints to ounces, we multiply it by 16: $$ \frac{33}{4} \text{ pints} \times 16 \frac{\text{ounces}}{\text{pint}} = \frac{33 \times 16}{4} \text{ ounces} $$
- Multiply and simplify
Now, we will carry out the multiplication: $$ \frac{33 \times 16}{4} = \frac{528}{4} \text{ ounces} $$ Next, simplify (\frac{528}{4}): $$ 528 \div 4 = 132 \text{ ounces} $$
The final answer is (132) ounces.
More Information
After completing this problem, you can use the same method to convert other mixed numbers from pints to ounces using the conversion factor that (1) pint equals (16) ounces.
Tips
- Forgetting to convert the mixed number into an improper fraction before calculations.
- Not using the correct conversion factor from pints to ounces.
- Incorrectly carrying out the multiplication or division when converting to ounces.
AI-generated content may contain errors. Please verify critical information
