Reduce a fraction to lowest terms
One of the basic math skills that a child will learn in school is how to take a fraction and reduce it to its lowest terms. This process is also called simplifying a fraction. A fraction consists of two numbers separated by a line. The number above the line is called the numerator, while the one below is called the denominator. If the numerator and denominator can be divided by the same number greater than one, then the fraction can be reduced to its lowest terms. There is a specific process to follow to ensure that you can do it if it comes up in your life.
1. Find the GCF. The GCF, or greatest common factor, is a number that can divide the numerator and denominator evenly. Conventionally, the GCF is the largest possible number that can be used to reduce a fraction. Searching for the GCF is not as difficult as it seems. To find it, create a list of factors for the numerator and denominator. Once you list the factors for each, compare them and take note of the numbers that appear in both lists. Select and write down the largest common number found on the lists. For instance, if you have a fraction with a numerator of 16 and a denominator of 24, the factors of the numerator are 1, 2, 4, 8, and 16, while the factors of the denominator are 1, 2, 4, 6, 8, 12, and 24. If you notice, the common factors are 1, 2, 4, 6, and 8. Since 8 is the largest common factor, it will be the GCF.
Finding the GCF can be done using many methods and tricks. While some of these methods may claim to give you an easier way to find what you need, these are not truly correct and practical methods at all. In fact, some of these methods can even confuse you. To ensure you do not get confused and make a mistake, use the method stated above.
2. Divide the numerator and denominator. As soon as you find the GCF for the fraction, it is time to divide the numerator and denominator by it. With the example 16/24, divide 16 by 8 and you will get a new numerator of 2. Dividing the denominator, 24, by 8 will give you a new denominator of 3. With this process, you have reduced the fraction 16/24 to 2/3, which is a lower term.
3. Try to reduce 2/3 to its lowest terms. Now that you have reduced 16/24 to 2/3, your next step is to determine the next factor to reduce 2/3 further. However, the only divisible factor left is 1. Dividing the numerator and denominator by 1 will not change the fraction at all. In this case, 2/3 is a fraction in its lowest terms.
This process is actually the right way to reduce a fraction. Through practice and patience, you should be able to master the process without having to write it on paper.
Reduce a fraction to lowest terms
Reduce a fraction to lowest terms : Multi-thousand tips to make your life easier.
One of the basic math skills that a child will learn in school is how to take a fraction and reduce it to its lowest terms. This process is also called simplifying a fraction. A fraction consists of two numbers separated by a line. The number above the line is called the numerator, while the one below is called the denominator. If the numerator and denominator can be divided by the same number greater than one, then the fraction can be reduced to its lowest terms. There is a specific process to follow to ensure that you can do it if it comes up in your life.
1. Find the GCF. The GCF, or greatest common factor, is a number that can divide the numerator and denominator evenly. Conventionally, the GCF is the largest possible number that can be used to reduce a fraction. Searching for the GCF is not as difficult as it seems. To find it, create a list of factors for the numerator and denominator. Once you list the factors for each, compare them and take note of the numbers that appear in both lists. Select and write down the largest common number found on the lists. For instance, if you have a fraction with a numerator of 16 and a denominator of 24, the factors of the numerator are 1, 2, 4, 8, and 16, while the factors of the denominator are 1, 2, 4, 6, 8, 12, and 24. If you notice, the common factors are 1, 2, 4, 6, and 8. Since 8 is the largest common factor, it will be the GCF.
Finding the GCF can be done using many methods and tricks. While some of these methods may claim to give you an easier way to find what you need, these are not truly correct and practical methods at all. In fact, some of these methods can even confuse you. To ensure you do not get confused and make a mistake, use the method stated above.
2. Divide the numerator and denominator. As soon as you find the GCF for the fraction, it is time to divide the numerator and denominator by it. With the example 16/24, divide 16 by 8 and you will get a new numerator of 2. Dividing the denominator, 24, by 8 will give you a new denominator of 3. With this process, you have reduced the fraction 16/24 to 2/3, which is a lower term.
3. Try to reduce 2/3 to its lowest terms. Now that you have reduced 16/24 to 2/3, your next step is to determine the next factor to reduce 2/3 further. However, the only divisible factor left is 1. Dividing the numerator and denominator by 1 will not change the fraction at all. In this case, 2/3 is a fraction in its lowest terms.
This process is actually the right way to reduce a fraction. Through practice and patience, you should be able to master the process without having to write it on paper.
Reduce a fraction to lowest terms
By Howtodotips
Reduce a fraction to lowest terms : Multi-thousand tips to make your life easier.