AT ATI TEAS MAT ATH BA BASIC FRACTIONS UNDERSTANDING THE BASICS OF FRACTIONS The ATI TEAS examination will test the ATI TEAS MATH applicant’s ability to add, subtract, multiply, and divide fractions. UNDERSTANDING To begin, it is important to understand BASIC FRACTIONS how to convert fractions to different forms. Every fraction consists of a numerator and a denominator . !"#$%&'(% )$*(#+*&'(% AT ATI TEAS MAT ATH BA BASIC FRACTIONS ATI TEAS MAT AT ATH BA BASIC FRACTIONS UNDERSTANDING THE BASICS OF UNDERSTANDING HOW TO A MIXED NUMBER FRACTION IS DEFINED AS A FRACTIONS COMPARE FRACTIONS CONVERTED IMPROPER FRACTION INTO A These two parts of a fraction determine WHOLE NUMBER. whether a fraction is either proper, There are several ways to compare improper, or mixed . fractions on the ATI TEAS examination. # % FOR EXAMPLE: $ CONVERTED TO % $ A proper fraction is defined as a numerator Important Tips: In order to perform that is smaller than the denominator. mathematical functions with fractions, you Fractions with the same ! must first convert mixed number to For example: denominator : we look at the improper fractions. " numerator to determine which fraction An improper fraction is defined as a is larger. numerator that is larger than the denominator. ! % For example: " #$ # For example: " $ AT ATI TEAS MAT ATH BA BASIC FRACTIONS AT ATI TEAS MAT ATH BA BASIC FRACTIONS UNDERSTANDING HOW TO COMPARE FRACTIONS UNDERSTANDING HOW TO COMPARE FRACTIONS Fractions with the same denominator : we look at the Fractions with different denominators : In order to compare numerator to determine which fraction is larger. fractions with different denominators, we must first change them both to fractions with the same denominator. THEN, We ! % For example: " #$ must find a common denominator between the two fractions. " • The least common denominator of two fractions is The following example shares the same denominator, the smallest number that can be divided equally by the 4. When we compare numerators: denominators in both fractions. % ! we determine that " is larger than " For example: Which fraction is larger, ! " or # $ ?
AT ATI TEAS MAT ATH BA BASIC FRACTIONS AT ATI TEAS MAT ATH BA BASIC FRACTIONS UNDERSTANDING HOW TO COMPARE FRACTIONS UNDERSTANDING HOW TO COMPARE FRACTIONS Fractions with different denominators Fractions with different denominators For example: Which fraction is larger, ! " or # For example: Which fraction is larger, ! " or # $ ? $ ? # The least common denominator in this equation is 4. We $ = " know this because 4 can be divided by both 4 and 2. # $ $ $ & $ = " We begin by converting the second fraction over 4. # Once the fractions are converted, we can determine that ! $ = " " is larger than $ $ & $ # $ = $ " . " AT ATI TEAS MAT ATH BA BASIC FRACTIONS AT ATI TEAS MAT ATH BA BASIC FRACTIONS UNDERSTANDING HOW TO UNDERSTANDING HOW TO PERFORM ADDITION WITH PERFORM ADDITION WITH FRACTIONS FRACTIONS Fractions with the same denominator : Fractions with the different denominators: You must first convert the fractions to fractions with the same denominator. SIMPLY add the numerators together. " + ! ! " = " ! " + $ " = ! % We cannot SIMPLY add the numerators since the denominators are different. We must first find the least common denominator. The smallest number that can be divided by both 4 and 2 is 4. AT ATI TEAS MAT ATH BA BASIC FRACTIONS AT ATI TEAS MAT ATH BA BASIC FRACTIONS UNDERSTANDING HOW TO UNDERSTANDING HOW TO PERFORM ADDITION WITH PERFORM SUBTRACTION WITH FRACTIONS FRACTIONS Fractions with the same First, we must convert one of the fractions with 4 as the denominator: denominator : SIMPLY subtract the ! " " " # " = % numerators. " − $ ! " = & " Next, we can add the numerators: & " ( ! % + % = % (improper fraction) or 1 % (Mixed Number)
AT ATI TEAS MAT ATH BA BASIC FRACTIONS ATI TEAS MAT AT ATH BA BASIC FRACTIONS UNDERSTANDING HOW TO PERFORM UNDERSTANDING HOW TO SUBTRACTION WITH FRACTIONS PERFORM SUBTRACTION WITH FRACTIONS Fractions with the different denominators: You must first convert the fractions to fractions Fractions with the different denominators: with the same denominator. Next, we can subtract the numerators: ! " − $ ! $ & % " − " = " (proper fraction) We cannot SIMPLY subtract the numerators since the denominators are different. We must first find the least common denominator. The smallest number that can be divided by both 4 and 2 is 4. % & % $ % = % " AT ATI TEAS MAT ATH BA BASIC FRACTIONS ATI TEAS MAT AT ATH BA BASIC FRACTIONS UNDERSTANDING HOW TO PERFORM UNDERSTANDING HOW TO PERFORM MULTIPLICATION WITH FRACTIONS MULTIPLICATION WITH FRACTIONS SIMPLIFY the following expression: ! " # $ Unlike addition and subtraction % fractions, multiplication fractions are The following fractions have different comparatively simple. This is because denominators, but this does not matter you no longer need to convert fractions, when multiplying fractions. We can SimpLy even if the denominators are different. multiply them together to get the result. ! " # $ % = ! # $ " # % = $ SIMPLIFY the following expression: ! $ '( " # % The correct answer $ '( . AT ATI TEAS MAT ATH BA BASIC FRACTIONS AT ATI TEAS MAT ATH BA BASIC FRACTIONS UNDERSTANDING HOW TO PERFORM UNDERSTANDING HOW TO PERFORM DIVISION WITH FRACTIONS DIVISION WITH FRACTIONS Simplify the following expression: ! " ÷ $ Dividing fractions is faintly more complicated than multiplying % fractions. To divide fractions, you must first turn the fraction from division into multiplication. Then, multiple as shown When dividing fractions, you must turn the divisor upside previously. down and then you can multiple the divisor by the remaining fraction. Simplify the following expression: ! " ÷ $ % The divisor is the fraction that is being divided by the first fraction. $ % = % $ divisor flipped upside down
AT ATI TEAS MAT ATH BA BASIC FRACTIONS UNDERSTANDING HOW TO PERFORM DIVISION WITH FRACTIONS Simplify the following expression: ! " ÷ $ % Now multiply the fraction " & % ! $ = ! & % % " & $ = () % The correct answer is () . * This can be reduced to !) .
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