Grace Had $\frac{4}{8}$ Pound Of Strawberries. She Used $\frac{4}{16}$ Pound Of Strawberries To Make Smoothies. How Many Pounds Of Strawberries Does Grace Have Now?

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Introduction

Grace, a strawberry enthusiast, had a certain amount of strawberries that she wanted to use for making smoothies. However, she was unsure of how much she had left after using some of them. In this problem, we will help Grace determine how many pounds of strawberries she has left after using a portion of them to make smoothies.

The Initial Amount of Strawberries

Grace initially had 48\frac{4}{8} pound of strawberries. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4. This gives us 12\frac{1}{2} pound of strawberries.

The Amount of Strawberries Used

Grace used 416\frac{4}{16} pound of strawberries to make smoothies. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4. This gives us 14\frac{1}{4} pound of strawberries.

Subtracting the Amount Used from the Initial Amount

To find out how many pounds of strawberries Grace has left, we need to subtract the amount used from the initial amount. We can do this by subtracting the two fractions: 12−14\frac{1}{2} - \frac{1}{4}.

Finding a Common Denominator

To subtract these fractions, we need to find a common denominator. The least common multiple of 2 and 4 is 4. So, we can rewrite 12\frac{1}{2} as 24\frac{2}{4}.

Subtracting the Fractions

Now that we have a common denominator, we can subtract the fractions: 24−14=14\frac{2}{4} - \frac{1}{4} = \frac{1}{4}.

Conclusion

Grace has 14\frac{1}{4} pound of strawberries left after using 14\frac{1}{4} pound of strawberries to make smoothies.

Converting the Answer to a Decimal

To make the answer easier to understand, we can convert the fraction to a decimal. To do this, we can divide the numerator by the denominator: 14=0.25\frac{1}{4} = 0.25.

Conclusion

Grace has 0.25 pounds of strawberries left after using 0.25 pounds of strawberries to make smoothies.

Real-World Application

This problem can be applied to real-life situations where we need to subtract fractions to find the remaining amount. For example, if we have a recipe that calls for 34\frac{3}{4} cup of flour and we only have 14\frac{1}{4} cup of flour left, we can subtract the two fractions to find out how much flour we need to buy.

Tips and Tricks

  • When subtracting fractions, make sure to find a common denominator.
  • You can convert fractions to decimals by dividing the numerator by the denominator.
  • Practice subtracting fractions with different denominators to become more comfortable with the process.

Common Mistakes

  • Forgetting to find a common denominator when subtracting fractions.
  • Subtracting the numerator from the denominator instead of subtracting the fractions.
  • Not converting the answer to a decimal for easier understanding.

Conclusion

In conclusion, Grace had 48\frac{4}{8} pound of strawberries and used 416\frac{4}{16} pound of strawberries to make smoothies. After subtracting the amount used from the initial amount, we found that Grace has 14\frac{1}{4} pound of strawberries left. We can convert this fraction to a decimal by dividing the numerator by the denominator, which gives us 0.25 pounds of strawberries. This problem can be applied to real-life situations where we need to subtract fractions to find the remaining amount. By following the tips and tricks and avoiding common mistakes, we can become more comfortable with subtracting fractions and solving math problems.

Introduction

In our previous article, we helped Grace determine how many pounds of strawberries she had left after using some of them to make smoothies. In this article, we will answer some frequently asked questions related to the problem.

Q: What is the initial amount of strawberries that Grace had?

A: The initial amount of strawberries that Grace had is 48\frac{4}{8} pound.

Q: How can we simplify the fraction 48\frac{4}{8}?

A: We can simplify the fraction 48\frac{4}{8} by dividing both the numerator and the denominator by their greatest common divisor, which is 4. This gives us 12\frac{1}{2} pound of strawberries.

Q: What is the amount of strawberries used by Grace to make smoothies?

A: The amount of strawberries used by Grace to make smoothies is 416\frac{4}{16} pound.

Q: How can we simplify the fraction 416\frac{4}{16}?

A: We can simplify the fraction 416\frac{4}{16} by dividing both the numerator and the denominator by their greatest common divisor, which is 4. This gives us 14\frac{1}{4} pound of strawberries.

Q: How do we subtract the amount used from the initial amount?

A: To subtract the amount used from the initial amount, we need to find a common denominator. The least common multiple of 2 and 4 is 4. So, we can rewrite 12\frac{1}{2} as 24\frac{2}{4}. Then, we can subtract the fractions: 24−14=14\frac{2}{4} - \frac{1}{4} = \frac{1}{4}.

Q: What is the final amount of strawberries that Grace has left?

A: The final amount of strawberries that Grace has left is 14\frac{1}{4} pound.

Q: How can we convert the fraction 14\frac{1}{4} to a decimal?

A: We can convert the fraction 14\frac{1}{4} to a decimal by dividing the numerator by the denominator: 14=0.25\frac{1}{4} = 0.25.

Q: What is the real-world application of this problem?

A: This problem can be applied to real-life situations where we need to subtract fractions to find the remaining amount. For example, if we have a recipe that calls for 34\frac{3}{4} cup of flour and we only have 14\frac{1}{4} cup of flour left, we can subtract the two fractions to find out how much flour we need to buy.

Q: What are some common mistakes to avoid when subtracting fractions?

A: Some common mistakes to avoid when subtracting fractions include:

  • Forgetting to find a common denominator.
  • Subtracting the numerator from the denominator instead of subtracting the fractions.
  • Not converting the answer to a decimal for easier understanding.

Q: How can we become more comfortable with subtracting fractions?

A: To become more comfortable with subtracting fractions, we can:

  • Practice subtracting fractions with different denominators.
  • Use visual aids such as number lines or fraction strips to help us understand the concept.
  • Break down complex fractions into simpler ones to make them easier to work with.

Q: What are some tips for solving math problems like this one?

A: Some tips for solving math problems like this one include:

  • Read the problem carefully and understand what is being asked.
  • Break down complex problems into simpler ones.
  • Use visual aids such as diagrams or charts to help us understand the concept.
  • Check our work to make sure we have the correct answer.

Conclusion

In conclusion, we have answered some frequently asked questions related to the problem of Grace's strawberry conundrum. We hope that this Q&A article has helped to clarify any confusion and provide a better understanding of the concept of subtracting fractions.