2.3 Fractions Equal to Whole Numbers
1.2 Commutative and Associative Properties
1.3 Identity and Inverse Properties
2.3 Fractions Equal to Whole Numbers
2.4 Converting Mixed and Improper Fractions
2.5 Adding and Subtracting Fractions with Like Denominators
2.6 Adding and Subtracting Fractions with Unlike Denominators
2.9 Understanding Keep, Change, Flip
3.1 Converting Fractions to Decimals
3.2 Converting Decimals to Fractions
3.3 Converting Integers to Decimals and Fractions
3.7 Understanding Proportional Ratios
3.8 Identifying Proportional Ratios
3.9 Comparing Ratios with Rates and Prices
3.11 Converting Percent to Fraction and Decimal
4.1 Operations and Expressions
4.3 Expressions with Addition and Subtraction
4.4 Expressions with Multiplication and Division
4.5 Expressions with Exponents
4.6 Expressions with Decimals and Fractions
4.10 Understanding Distributive Property
4.11 Using the Distributive Property
4.12 Combining Like Terms with Distributive Property
5.2 The Goal of Solving Equations
5.3 Checking the Answer to an Equation
5.4 Solving Equations with Addition and Subtraction
5.5 Solving Equations with Multiplication
5.6 Solving Equations with Division
5.7 Starting a Two-Step Equation
5.8 Solving Two-Step Equations
5.9 Simplifying and Solving Two-Step Equations
5.11 Translating Math Expressions
5.12 Translating Math Equations
5.13 Strategies for Algebraic Word Problems
6.2 Comparing Integers and Decimals
6.4 Graphing Inequalities on Number Lines
6.5 Writing Inequalities from Number Lines
6.6 Translating Inequalities from Word Problems
6.7 Solving Inequalities with Addition and Subtraction
6.8 Solving Inequalities with Multiplication and Division
6.9 Inequalities with Negative Numbers
6.10 Solving Inequalities with Negative Numbers
6.11 One-Step Inequality Word Problems
6.12 Writing Inequalities Different Ways
6.13 Solving Two-Step Inequalities
Math Basics > Unit 2 Fractions and Decimals > Lesson 2.3 Fractions Equal to Whole Numbers
Video Lesson
Click play to watch the video and answer the questions for points!
Practice Activity
Drag each number to its equivalent fraction.
+ Video Transcript
In this lesson, we're going to look at some special cases of fractions. So one thing that's helpful when it comes to fractions is to remember that fractions can represent division. So if we look at this fraction here, 15 over five, it's really the same as 15 divided by five, the numerator divided divided by the denominator. And when we do divide, 15 divided by five gives us three. Notice that it simplifies to just a whole number to an integer, not to another fraction. So whenever the denominator is a factor of the numerator, in this case five is a factor of 15, we are going to get an integer as our answer. So always check for that. If the denominator is a factor of the numerator, they can just divide to simplify it to an integer. Okay, with this one, notice that the numerator and denominator are the same number. We have eight over eight. Now, if we think about that, this is seeing eight out of eight. So that's like the entire amount. So we can simplify this to one whole. But let's think about it as a division problem and see if we get the same answer. So eight divided by eight does equal one. We get one whole as our answer. So when the numerator and denominator are the same number, the fraction is just equal to one. Now, with this one, we have five over one. We have a one in the denominator. We can treat this one as a division problem too. So five divided by one is equal to five. Now notice that the whole thing just simplified to the same number that was in the numerator of the fraction that we started off with. So whenever we have a one as our denominator, the fraction is just equal to whatever the numerator is because we're just dividing by one. So it doesn't change the value of that numerator, it just simplifies to an integer. So to review with these special cases of fractions, if the denominator is a factor of the numerator, it's going to simplify to some integer instead of simplifying to another fraction. If the denominator is a one, the fraction will simplify to whatever the numerator is. And if the numerator and denominator are the same number, the fraction will simplify to just to one whole. So always keep your eyes open for these special cases of fractions because a lot of times they'll just simplify to an integer, which sometimes makes the problems even easier to work with.
