Reducing Fractions Into Lowest Terms
Fractions Worksheets on Reducing Fractions
Reducing fractions in to lowest terms also known as simplifying fractions into lowest terms. On this page there are useful tips and links to learn reducing fractions in to their lowest terms.
A fractions is said to be in its lowest terms, if its numerator and denominator have only “1″ as their greatest common factor. In other words, if we can’t divide the numerator and denominator of a fractions by any number but 1, then this fraction is in its lowest terms. For example, 1/3 is already in its lowest terms.
If the numerator and denominator of a fraction have got a common factor other than number 1, then this fraction can be reduced into its lowest terms. For example, 6/8 can be reduced into its lowest terms because it numerator 6 and denominator 8 can be divided with 2.
This topic about fractions is not learned till kids get to grade four or five. Before learning it, kids need to practice fractions worksheets on basic fractional topics, such as writing fractions using shapes or equivalent fractions.
To learn reducing fractions, students need to know the following basic skills in math:
1. Basic fraction terminology: Kids should know about the basic terms used to write a fraction, such as numerator, denominator and the fraction line. Kids are expected to know equivalent fractions.
2. Basic multiplication and division skills: Students want to learn reducing fractions in lowest terms, can not do the task without learning basic multiplication and division. Kids should be able to multiply and divide small numbers (one digit multiplication and division of numbers up to 50 by one digit number).
3. Greatest common factor: The greatest common factor or gcf is the key to reducing fractions. Kids who know to find the greatest common factor of two numbers, can easily reduce fractions into their lowest terms. The task can be done without the gcf knowledge but in steps and gets longer. Still kids need to know the basic division.
Once kids know all the above prerequisites needed to reduce fractions, they can use fractions worksheets and lessons on reducing fractions to practice the skill to get perfect.
Below is a lesson on reducing fractions:
Along with the above page; more similar pages on reducing fractions can be printed by clicking the link.
There are numerous benefits of learning simplifying fractions into lowest terms. Some of the key applications of reducing fractions are given below:
1. After adding or subtracting fractions, the answer must be in terms of a fraction which is reduced into its lowest terms. Most often the answering fraction after adding and subtracting two or more fractions, is not in its lowest terms and kids need to know reducing fractions to simplify this fraction.
2. When fractions are multiplied together, if they are simplified into lowest terms then it is very easy to multiply them because the numerators and denominators of the fractions are smaller numbers. Some books teach to reduce the answering fraction after multiplying the fractions. The problem may be the larger numerator and denominators and kids can have hard time to multiply the larger numbers.
3. Similarly after in case of fraction division, if the dividing fractions are reduced into their lowest terms then it is very easy to divide them.
4. The last but not least benefit of reducing fractions is that it makes kids’ brain sharper. When kids use mental math to reduce fractions into the lowest terms, it makes their brain faster processor of numbers and get very active to basic math operations.
Hence kids who want to get good grades in math, need to learn fractions and reducing fraction is a key skill to learn fractions and have many applications in study of fractions.
Guru Angad Educational Team