On Monday, June Worked At A Bookstore For 4 2 3 4 \frac{2}{3} 4 3 2 ​ Hours. She Worked 1 1 3 1 \frac{1}{3} 1 3 1 ​ Hours Less On Tuesday. Which Of The Following Expressions Can Be Used To Find The Number Of Hours She Worked On Tuesday?A. $4 \frac{2}{3}

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On Monday, June Worked at a Bookstore for 4234 \frac{2}{3} Hours: Finding the Number of Hours She Worked on Tuesday

In this article, we will explore the concept of subtracting mixed numbers and fractions to find the number of hours June worked on Tuesday. We will analyze the given information and use mathematical operations to determine the correct expression that can be used to find the number of hours she worked on Tuesday.

June worked at a bookstore for 4234 \frac{2}{3} hours on Monday. On Tuesday, she worked 1131 \frac{1}{3} hours less than she did on Monday. To find the number of hours she worked on Tuesday, we need to subtract the number of hours she worked on Tuesday from the number of hours she worked on Monday.

Subtracting Mixed Numbers and Fractions

To subtract mixed numbers and fractions, we need to follow the order of operations (PEMDAS):

  1. Convert the mixed numbers to improper fractions.
  2. Subtract the numerators.
  3. Subtract the denominators.

Step 1: Convert the Mixed Numbers to Improper Fractions

To convert the mixed numbers to improper fractions, we need to multiply the whole number part by the denominator and add the numerator.

  • 423=(4×3)+23=12+23=1434 \frac{2}{3} = \frac{(4 \times 3) + 2}{3} = \frac{12 + 2}{3} = \frac{14}{3}
  • 113=(1×3)+13=3+13=431 \frac{1}{3} = \frac{(1 \times 3) + 1}{3} = \frac{3 + 1}{3} = \frac{4}{3}

Step 2: Subtract the Numerators

Now that we have the improper fractions, we can subtract the numerators.

143−43=14−43=103\frac{14}{3} - \frac{4}{3} = \frac{14 - 4}{3} = \frac{10}{3}

Step 3: Subtract the Denominators

Since the denominators are the same, we can subtract the numerators directly.

103−43=10−43=63\frac{10}{3} - \frac{4}{3} = \frac{10 - 4}{3} = \frac{6}{3}

Simplifying the Expression

We can simplify the expression by dividing the numerator by the denominator.

63=2\frac{6}{3} = 2

In conclusion, the correct expression that can be used to find the number of hours June worked on Tuesday is 423−1134 \frac{2}{3} - 1 \frac{1}{3}. By following the order of operations and subtracting the mixed numbers and fractions, we can determine that June worked 2 hours on Tuesday.

The correct answer is:

2\boxed{2}
On Monday, June Worked at a Bookstore for 4234 \frac{2}{3} Hours: Finding the Number of Hours She Worked on Tuesday - Q&A

In our previous article, we explored the concept of subtracting mixed numbers and fractions to find the number of hours June worked on Tuesday. We analyzed the given information and used mathematical operations to determine the correct expression that can be used to find the number of hours she worked on Tuesday. In this article, we will provide a Q&A section to further clarify any doubts and provide additional information on the topic.

Q: What is the difference between a mixed number and an improper fraction?

A: A mixed number is a combination of a whole number and a fraction, while an improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Q: How do I convert a mixed number to an improper fraction?

A: To convert a mixed number to an improper fraction, you need to multiply the whole number part by the denominator and add the numerator.

Q: What is the order of operations for subtracting mixed numbers and fractions?

A: The order of operations for subtracting mixed numbers and fractions is:

  1. Convert the mixed numbers to improper fractions.
  2. Subtract the numerators.
  3. Subtract the denominators.

Q: Can I subtract the denominators directly if they are the same?

A: Yes, if the denominators are the same, you can subtract the numerators directly.

Q: How do I simplify the expression after subtracting the mixed numbers and fractions?

A: To simplify the expression, you need to divide the numerator by the denominator.

Q: What is the final answer to the problem?

A: The final answer to the problem is 2.

  • Not converting the mixed numbers to improper fractions before subtracting.
  • Not following the order of operations.
  • Not simplifying the expression after subtracting the mixed numbers and fractions.
  • Make sure to convert the mixed numbers to improper fractions before subtracting.
  • Follow the order of operations to ensure accuracy.
  • Simplify the expression after subtracting the mixed numbers and fractions to get the final answer.

In conclusion, the Q&A section provides additional information and clarifies any doubts on the topic of subtracting mixed numbers and fractions. By following the order of operations and simplifying the expression, we can determine the correct answer to the problem.

The correct answer is:

2\boxed{2}