Shelly Has A Beaker That Contains $5 \frac{2}{3}$ Fluid Ounces Of Water. She Pours Out $3 \frac{1}{3}$ Fluid Ounces Of Water. Which Expression Can Be Used To Find The Number Of Fluid Ounces Of Water That Remain In The Beaker?A.

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Shelly's Beaker: A Math Problem

In this problem, we are presented with a scenario where Shelly has a beaker containing a certain amount of water. She then pours out a portion of the water, leaving a certain amount remaining in the beaker. Our goal is to determine the expression that can be used to find the number of fluid ounces of water that remain in the beaker.

To solve this problem, we need to understand the concept of subtracting mixed numbers. A mixed number is a combination of a whole number and a fraction. In this case, Shelly's beaker initially contains $5 \frac{2}{3}$ fluid ounces of water, and she pours out $3 \frac{1}{3}$ fluid ounces of water.

When subtracting mixed numbers, we need to follow a specific procedure. First, we subtract the whole numbers, and then we subtract the fractions. However, we need to make sure that the fractions have a common denominator before we can subtract them.

Step 1: Convert the Mixed Numbers to Improper Fractions

To subtract the mixed numbers, we need to convert them to improper fractions. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

523=(5×3)+23=15+23=1735 \frac{2}{3} = \frac{(5 \times 3) + 2}{3} = \frac{15 + 2}{3} = \frac{17}{3}

313=(3×3)+13=9+13=1033 \frac{1}{3} = \frac{(3 \times 3) + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3}

Step 2: Subtract the Fractions

Now that we have the mixed numbers converted to improper fractions, we can subtract them.

173−103=17−103=73\frac{17}{3} - \frac{10}{3} = \frac{17 - 10}{3} = \frac{7}{3}

Step 3: Convert the Resulting Fraction to a Mixed Number

To make the result more understandable, we can convert the improper fraction to a mixed number.

73=213\frac{7}{3} = 2 \frac{1}{3}

In conclusion, the expression that can be used to find the number of fluid ounces of water that remain in the beaker is $2 \frac{1}{3}$ fluid ounces.

The final answer is: $2 \frac{1}{3}$
Shelly's Beaker: A Math Problem - Q&A

In our previous article, we explored the problem of Shelly's beaker, where she pours out a portion of water from a beaker containing $5 \frac{2}{3}$ fluid ounces of water. We determined that the expression that can be used to find the number of fluid ounces of water that remain in the beaker is $2 \frac{1}{3}$ fluid ounces. In this article, we will answer some frequently asked questions related to this problem.

Q: What is the initial amount of water in the beaker?

A: The initial amount of water in the beaker is $5 \frac{2}{3}$ fluid ounces.

Q: How much water is poured out of the beaker?

A: $3 \frac{1}{3}$ fluid ounces of water is poured out of the beaker.

Q: What is the expression that can be used to find the number of fluid ounces of water that remain in the beaker?

A: The expression that can be used to find the number of fluid ounces of water that remain in the beaker is $2 \frac{1}{3}$ fluid ounces.

Q: Why do we need to convert the mixed numbers to improper fractions?

A: We need to convert the mixed numbers to improper fractions because it makes it easier to subtract the fractions. When we subtract mixed numbers, we need to make sure that the fractions have a common denominator.

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

A: To convert a mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator. Then, we write the result as a fraction with the denominator.

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

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

Q: Why do we need to convert the resulting fraction to a mixed number?

A: We need to convert the resulting fraction to a mixed number because it makes the result more understandable. Mixed numbers are often easier to work with than improper fractions.

Q: Can we use a calculator to solve this problem?

A: Yes, we can use a calculator to solve this problem. However, it's often more helpful to understand the underlying math concepts and to be able to solve the problem by hand.

In conclusion, we have answered some frequently asked questions related to Shelly's beaker problem. We hope that this Q&A article has provided you with a better understanding of the problem and its solution.

The final answer is: $2 \frac{1}{3}$