If you’ve ever wondered how many 1/3 are in 3/4, you’re not alone. This is a common question that many people have when working with fractions. In this article, we’ll explore the answer to this question in detail and provide you with a clear understanding of how to work with fractions.
Understanding Fractions
Before we dive into the question of how many 1/3 are in 3/4, let’s first review the basics of fractions. A fraction is a way of representing a part of a whole. It is expressed as two numbers separated by a slash, with the number on the top representing the numerator and the number on the bottom representing the denominator.
For example, the fraction 1/2 represents one part of a whole that has been divided into two equal parts. The fraction 2/3 represents two parts of a whole that has been divided into three equal parts.
Finding the Answer
Now that we have a basic understanding of fractions, let’s turn our attention to the question of how many 1/3 are in 3/4. To find the answer to this question, we need to perform a simple division.
To begin, we’ll convert both fractions to have a common denominator. In this case, the lowest common denominator for 1/3 and 3/4 is 12. To convert 1/3 to have a denominator of 12, we multiply both the numerator and denominator by 4. This gives us the equivalent fraction of 4/12. To convert 3/4 to have a denominator of 12, we multiply both the numerator and denominator by 3. This gives us the equivalent fraction of 9/12.
Now that both fractions have a common denominator of 12, we can perform the division. To do this, we simply divide the numerator of the second fraction (9) by the denominator of the first fraction (4). This gives us the answer of 2 1/4.
Therefore, the answer to the question of how many 1/3 are in 3/4 is 2 1/4.
Simplifying the Answer
While 2 1/4 is the correct answer to the question of how many 1/3 are in 3/4, it is not the most simplified form. To simplify the answer, we need to convert the mixed number 2 1/4 into an improper fraction.
To do this, we multiply the whole number (2) by the denominator (4) and add the numerator (1). This gives us the numerator of the improper fraction, which is 9. The denominator of the improper fraction is the same as the denominator of the mixed number, which is 4. Therefore, the improper fraction equivalent of 2 1/4 is 9/4.
So, in simplified form, the answer to the question of how many 1/3 are in 3/4 is 9/4.
Conclusion
In conclusion, the question of how many 1/3 are in 3/4 can be answered by performing a simple division. By converting both fractions to have a common denominator and dividing the numerator of the second fraction by the denominator of the first fraction, we arrive at the answer of 2 1/4. However, to simplify the answer, we need to convert the mixed number into an improper fraction, which gives us the final answer of 9/4.
Remember, working with fractions can be challenging, but by understanding the basics and following the steps outlined in this article, you can solve even the most complex fraction problems with ease.
