Find The Length Of The Longest Worm Given The Following Information:- The Difference Between The Longest Worm And The Shortest Worm Was $1 \frac{2}{4}$ Inches.- The Shortest Worm Was $3 \frac{1}{4}$ Inches Long.- There Were Two
Introduction
In this article, we will delve into a fascinating mathematical problem that involves finding the length of the longest worm given certain information. The problem is presented in a way that requires us to apply our understanding of fractions and basic arithmetic operations. We will break down the problem step by step, and by the end of this article, we will have a clear understanding of how to find the length of the longest worm.
The Problem Statement
The problem states that the difference between the longest worm and the shortest worm was $1 \frac{2}{4}$ inches. Additionally, we are given that the shortest worm was $3 \frac{1}{4}$ inches long. Our goal is to find the length of the longest worm.
Understanding the Given Information
Let's start by analyzing the given information. We are told that the difference between the longest worm and the shortest worm was $1 \frac{2}{4}$ inches. This means that if we add the difference to the length of the shortest worm, we will get the length of the longest worm.
Converting Mixed Numbers to Improper Fractions
Before we can proceed, we need to convert the mixed numbers to improper fractions. A mixed number is a combination of a whole number and a fraction. To convert a mixed number to an improper fraction, we multiply the whole number by the denominator and then add the numerator. The result is then written as an improper fraction.
In this case, we have two mixed numbers: $1 \frac{2}{4}$ and $3 \frac{1}{4}$. Let's convert them to improper fractions.
Finding the Length of the Longest Worm
Now that we have converted the mixed numbers to improper fractions, we can proceed to find the length of the longest worm. We are given that the difference between the longest worm and the shortest worm was $\frac{6}{4}$ inches. We also know that the shortest worm was $\frac{13}{4}$ inches long.
To find the length of the longest worm, we need to add the difference to the length of the shortest worm. This can be represented as:
Adding Fractions with the Same Denominator
When adding fractions with the same denominator, we can simply add the numerators and keep the denominator the same. In this case, we have:
Converting the Improper Fraction to a Mixed Number
Now that we have found the length of the longest worm, we can convert the improper fraction to a mixed number. To do this, we divide the numerator by the denominator and write the result as a mixed number.
Conclusion
In this article, we have found the length of the longest worm given certain information. We started by analyzing the problem statement and understanding the given information. We then converted the mixed numbers to improper fractions and added the fractions to find the length of the longest worm. Finally, we converted the improper fraction to a mixed number to get the final answer.
The length of the longest worm is $4 \frac{3}{4}$ inches.
Introduction
In our previous article, we explored the problem of finding the length of the longest worm given certain information. We broke down the problem step by step and arrived at the solution. However, we understand that some readers may still have questions or need further clarification. In this article, we will address some of the most frequently asked questions related to this problem.
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. In the context of this problem, we converted the mixed numbers to improper fractions to make it easier to add them.
Q: Why do we need to convert mixed numbers to improper fractions?
A: Converting mixed numbers to improper fractions allows us to perform arithmetic operations more easily. In this case, we needed to add the mixed numbers, and converting them to improper fractions made it simpler to do so.
Q: How do we add fractions with the same denominator?
A: When adding fractions with the same denominator, we simply add the numerators and keep the denominator the same. This is what we did in the problem when we added $\frac{13}{4}$ and $\frac{6}{4}$.
Q: What is the length of the longest worm in decimal form?
A: To convert the mixed number $4 \frac{3}{4}$ to a decimal, we need to convert the fraction to a decimal first. Since $\frac{3}{4}$ is equal to 0.75, we can add 4 to get 4.75. Therefore, the length of the longest worm in decimal form is 4.75 inches.
Q: Can we use a calculator to find the length of the longest worm?
A: Yes, we can use a calculator to find the length of the longest worm. However, in this case, we chose to solve the problem manually to illustrate the steps involved in finding the solution.
Q: What if we are given the length of the longest worm and asked to find the length of the shortest worm?
A: If we are given the length of the longest worm and asked to find the length of the shortest worm, we can simply subtract the difference from the length of the longest worm. For example, if the length of the longest worm is $4 \frac{3}{4}$ inches and the difference is $\frac{6}{4}$ inches, we can subtract $\frac{6}{4}$ from $4 \frac{3}{4}$ to find the length of the shortest worm.
Q: Can we apply this problem to real-life situations?
A: Yes, this problem can be applied to real-life situations where we need to find the length of an object given certain information. For example, if we are given the length of a room and the length of a piece of furniture, we can use this problem to find the length of the furniture if we know the difference between the length of the room and the length of the furniture.
Conclusion
In this article, we have addressed some of the most frequently asked questions related to finding the length of the longest worm. We hope that this article has provided further clarification and insight into the problem. If you have any more questions or need further assistance, please don't hesitate to ask.