GED Prep Mathematics Lesson Fraction 2023 GED Test Audio Lessons, Audio GED Prep Project

Audio GED Prep Mathematics Lesson Fractions

GED Prep Mathematics Lesson Fractions, a fraction shows a part of a whole. They are usually shown by a top number, called the numerator, and a bottom number, called the denominator.

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Lesson Summary:



Audio GED Prep Mathematics Lesson Fractions Lesson 2 2023





Fractions



Definition of a fraction/parts of a fraction



GED Prep Mathematics Lesson Fraction: A fraction shows a part of a whole. They are usually shown by a top number, called the numerator, and a bottom number, called the denominator. Between the numerator and the denominator, there is a slash, either a straight line(—) or a slash (/).



The denominator shows how many parts are in a whole, (1) and the numerator shows how many parts you have. There are several ways that you will see fractions used. The reciprocal of a fraction is when you switch the numerator and the denominator. For example, 3/4 and 4/3 are reciprocals.



Types of fractions



First, there are simple fractions. In simple fractions, the numerator is smaller than, or equal to the denominator, meaning that you have a part of a whole, or exactly one whole thing.



Then, there are complex fractions, in which the numerator is larger than the denominator. You can write these out like a normal fraction, or write them as a mixed number, which consists of an integer and a fraction side by side. If you have a complex fraction, you have at least one whole thing or more, and part of another whole.



Simplifying fractions/equivalent fractions



Sometimes, a fraction can be simplified. This means that it could be written as a fraction that has a smaller numerator and denominator without changing its value. If both numbers of a fraction can be divided by the same number, then the fraction can be simplified.



This means that there are many fractions that are equal to the same part of a whole. For example, if you divide a whole into four parts, and you have two parts out of the whole (2/4), that is the same as diving a whole into two parts and having one of the two parts. (1/2). Both 2/4 are ½ are exactly half of the whole or 50%. You can divide both 2 and 4 by 2 to get 1 and 2 respectively. If you cannot divide the numbers of a fraction by the same number, then the fraction is as simple as possible. For example, the fraction 7/8 cannot be divided by the same number, and so is completely simplified.



Converting fraction to mixed number/vice versa



Sometimes, it will be useful to convert a fraction to a mixed number or from a mixed number back into a fraction.



For sake of ease, first simplify the fraction if possible. To convert a fraction to a mixed number, you must first see if the numerator is greater than the denominator.If it is not, then you cannot create a mixed number because you do not have more than one whole.



If the numerator is greater, then subtract the denominator from the numerator. For example, if the fraction 9/8 then you subtract 9 – 8 = 1. The result is you new numerator. You then put a large number one next to the fraction to show one whole unit. So, 9/8 becomes 1 1/8.



Then, you need to check if the numerator is still greater than the denominator. In this case, it is not, and so you are done. If,