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 2.8 Dividing Fractions
Click play to watch the video and answer the questions for points!
Divide the fractions then click on your answer.
In this lesson we're going to look at dividing fractions. Here's our first example. Two fifths divided by three sevenths. Now, in this lesson, we're going to focus on the shortcut way of dividing fractions. And just remember, the shortcut involves keep, change, flip, then multiply. So just kind of memorize that. Now the keep part refers to keeping the first fraction the same. Okay? So you would just copy that first fraction over, don't change anything there. The change refers to changing the division sign to a multiplication sign. And then the next part, flip, means that we're going to flip the second fraction. So three over seven flips to become seven over three. Now, we did learn a term for this. We call it the reciprocal. So we're really taking the reciprocal of that divisor, the second fraction, but you can just remember it as flipping it. And now notice we have a multiplication problem here. So we just multiply across just like we do with any type of problem that involves multiplying fractions. So if we multiply cross, we get two times seven equals 14 for our numerator and our denominator, five times three equals 15. Our final answer is 14/15. So just remember, with this strategy, we're multiplying the dividend by the reciprocal of the divisor, or in other words, follow keep, change, flip, then multiply. And then remember to change any mixed fractions to improper fractions first. And if the answer needs to be simplified, make sure that you simplify the answer.
Hi, I'm Mia!
With over 12 years of experience as a classroom teacher, tutor, and homeschool parent, my specialty is easing math anxiety for students of all ages. I'm committed to empowering parents to confidently support their children in math!