A Recipe Shows That The Yeast Needed For A Bread Recipe Is 2 1 3 2 \frac{1}{3} 2 3 1 ​ Ounces. Which Of The Following Decimals Is Equivalent To This Number?A. 2.13 B. 2.3 C. 2. 3 ‾ 2.\overline{3} 2. 3 D. 3.2

Understanding the Problem

When it comes to baking, precision is key. A recipe that calls for $2 \frac{1}{3}$ ounces of yeast may seem straightforward, but converting this mixed number to a decimal can be a challenge. In this article, we'll explore the different options for converting $2 \frac{1}{3}$ to a decimal and determine which one is equivalent.

What is a Mixed Number?

A mixed number is a combination of a whole number and a fraction. In this case, $2 \frac{1}{3}$ is a mixed number where 2 is the whole number and $\frac{1}{3}$ is the fraction. To convert a mixed number to a decimal, we need to convert the fraction to a decimal first.

Converting Fractions to Decimals

To convert a fraction to a decimal, we divide the numerator (the top number) by the denominator (the bottom number). In this case, we have $\frac{1}{3}$. To convert this fraction to a decimal, we divide 1 by 3.

$\frac{1}{3} = 0.33\overline{3}$

What is the Overline?

The overline in $0.33\overline{3}$ indicates that the 3 is repeating. This means that the decimal 0.3 is repeating indefinitely.

Converting Mixed Numbers to Decimals

Now that we have the decimal equivalent of the fraction, we can convert the mixed number to a decimal. To do this, we add the whole number to the decimal equivalent of the fraction.

$2 \frac{1}{3} = 2 + 0.33\overline{3}$

Evaluating the Options

Now that we have the decimal equivalent of $2 \frac{1}{3}$, we can evaluate the options.

A. 2.13 B. 2.3 C. $2.\overline{3}$ D. 3.2

Option A: 2.13

Option A is 2.13, which is not equivalent to $2 \frac{1}{3}$.

Option B: 2.3

Option B is 2.3, which is not equivalent to $2 \frac{1}{3}$.

Option C: $2.\overline{3}$

Option C is $2.\overline{3}$, which is equivalent to $2 \frac{1}{3}$.

Option D: 3.2

Option D is 3.2, which is not equivalent to $2 \frac{1}{3}$.

Conclusion

In conclusion, the decimal equivalent of $2 \frac{1}{3}$ is $2.\overline{3}$. This is the correct answer.

Why is this Important?

Converting mixed numbers to decimals is an important skill in mathematics, particularly in cooking and baking. By understanding how to convert mixed numbers to decimals, we can ensure that our recipes are accurate and our baked goods turn out perfectly.

Real-World Applications

Converting mixed numbers to decimals has many real-world applications. In cooking and baking, it's essential to have accurate measurements to ensure that our dishes turn out perfectly. In science and engineering, converting mixed numbers to decimals is crucial for making precise calculations.

Tips and Tricks

Here are some tips and tricks for converting mixed numbers to decimals:

• Always convert the fraction to a decimal first.
• Use a calculator to divide the numerator by the denominator.
• Be careful when adding the whole number to the decimal equivalent of the fraction.
• Make sure to evaluate the options carefully.

Conclusion

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Understanding the Problem

When it comes to baking, precision is key. A recipe that calls for $2 \frac{1}{3}$ ounces of yeast may seem straightforward, but converting this mixed number to a decimal can be a challenge. In this article, we'll explore the different options for converting $2 \frac{1}{3}$ to a decimal and determine which one is equivalent.

Q&A: Converting Mixed Numbers to Decimals

Q: What is a mixed number?

A: A mixed number is a combination of a whole number and a fraction. In this case, $2 \frac{1}{3}$ is a mixed number where 2 is the whole number and $\frac{1}{3}$ is the fraction.

Q: How do I convert a mixed number to a decimal?

A: To convert a mixed number to a decimal, we need to convert the fraction to a decimal first. To convert a fraction to a decimal, we divide the numerator (the top number) by the denominator (the bottom number). In this case, we have $\frac{1}{3}$. To convert this fraction to a decimal, we divide 1 by 3.

Q: What is the overline in $0.33\overline{3}$?

A: The overline in $0.33\overline{3}$ indicates that the 3 is repeating. This means that the decimal 0.3 is repeating indefinitely.

Q: How do I convert the mixed number to a decimal?

A: Now that we have the decimal equivalent of the fraction, we can convert the mixed number to a decimal. To do this, we add the whole number to the decimal equivalent of the fraction.

Q: What are the options for converting $2 \frac{1}{3}$ to a decimal?

A: The options are:

A. 2.13 B. 2.3 C. $2.\overline{3}$ D. 3.2

Q: Which option is equivalent to $2 \frac{1}{3}$?

A: The correct answer is C. $2.\overline{3}$.

Q: Why is converting mixed numbers to decimals important?

A: Converting mixed numbers to decimals is an important skill in mathematics, particularly in cooking and baking. By understanding how to convert mixed numbers to decimals, we can ensure that our recipes are accurate and our baked goods turn out perfectly.

Q: What are some real-world applications of converting mixed numbers to decimals?

A: Converting mixed numbers to decimals has many real-world applications. In cooking and baking, it's essential to have accurate measurements to ensure that our dishes turn out perfectly. In science and engineering, converting mixed numbers to decimals is crucial for making precise calculations.

Q: What are some tips and tricks for converting mixed numbers to decimals?

A: Here are some tips and tricks for converting mixed numbers to decimals:

• Always convert the fraction to a decimal first.
• Use a calculator to divide the numerator by the denominator.
• Be careful when adding the whole number to the decimal equivalent of the fraction.
• Make sure to evaluate the options carefully.

Conclusion

In conclusion, converting mixed numbers to decimals is an essential skill in mathematics. By understanding how to convert mixed numbers to decimals, we can ensure that our recipes are accurate and our baked goods turn out perfectly. The decimal equivalent of $2 \frac{1}{3}$ is $2.\overline{3}$, which is the correct answer.