Dividing Fractions: Multiplication Review Before you learn how to divide fractions using the Keep-Change-Flip method, you need to make sure that you understand how to multiply fractions together which is even easier than dividing! However, if you want a quick review of how to multiply fractions, here is the rule: Multiplying Fractions Rule: Whenever multiplying fractions together, multiply the numerators together, then multiply the denominators together as follows….
Check out this free guide. Dividing Fractions Examples! Where: 1. Why Does This Answer Mean? Just like example 01, you can solve this problem by using the keep change flip method as follows: 1. Dividing Fractions by Whole Numbers: Example 3 What if you have to divide a fraction with a whole number?
Still confused? Check out the animated video lesson below: Video: Dividing Fractions Explained! Dividing Fractions Worksheet. Keep Learning:. We use cookies to make wikiHow great.
By using our site, you agree to our cookie policy. Cookie Settings. Learn why people trust wikiHow. Download Article Explore this Article parts. Related Articles. Article Summary. Part 1. All rights reserved. This image may not be used by other entities without the express written consent of wikiHow, Inc. Begin with an example problem.
Don't worry; it's not as hard as it sounds! Change the division sign to a multiplication sign. Now find the reciprocal of the second fraction. Multiply your fractions. Simplify your fraction. In this case, because the numerator of the fraction is larger than the denominator, we know that our fraction is larger than 1, and we should convert it to a mixed fraction.
Stop there, you have found your answer! You can determine that you cannot reduce the fraction further because the denominator is not evenly divisible by the numerator 9 cannot be divided evenly by 5 and the numerator is a prime number, or an integer that can only be divisible by one and itself.
Try another example! Now simplify the fraction. Because the numerator is larger than the denominator, we will need to convert this to a mixed fraction. We could still reduce this fraction further! Note that 4 and 10 are both even numbers, so the first step in reducing them is to divide them each by 2. Because the denominator 5 cannot be divided evenly by the numerator 2 , and it is a prime number, we know that it cannot be reduced further. Get additional help with reducing fractions. You probably spent a lot of time learning to reduce fractions before trying to divide them by each other, but if you need a refresher or some more help, there are some great articles online that can help you a lot.
Part 2. Think about what dividing by a fraction means. Try thinking about this same equation in terms of cups of water: How many half cups of water are in 2 cups of water? To divide a fraction with a whole number, we multiply the given whole number with the denominator of the fraction. The division of fractions means breaking down a fraction into further parts.
The multiplication of fractions means to add a fraction to itself repeatedly a specific number of times. The following steps are used to multiply fractions:.
On the other hand, the division of fractions means to do equal grouping or equal sharing of a fraction. Dividing fractions is related to multiplication, as while dividing two fractions, we multiply the reciprocal of the second fraction to the first. To visualize the division of fractions, take a piece of paper and fold it into two equal parts. This is how you can visualize the concept of dividing fractions. The basic rule of dividing fractions is to keep, change, and flip. It means we have to keep the first fraction as it is, change the division sign to the multiplication sign, and flip the second fraction to its reciprocal.
By following this simple rule, you can divide any two fractions. Division of fractions can be taught in many ways such as, by using models or applying the concept of multiplication of fractions. Some of the ways to teach how to divide fractions are listed below:. To divide a whole number by a fraction, we multiply the whole number with the reciprocal of the given fraction. To divide a fraction by a fraction, we multiply the reciprocal of the second fraction with the first fraction.
Learn Practice Download. You can also create assignments for each student based on their specific needs and learning styles. All of your students will be given the chance to practice questions they have trouble with and improve their overall math skills.
When test time is around the corner, you can create a practice test in-game to see if any topics need to be covered in class with more depth. To make sure key concepts are getting across when teaching how to divide fractions you can also use worksheets for your class. You can put an assortment of different questions in a worksheet to see what students understand and what they're struggling with.
The only drawback with worksheets is that they can take a long time to mark. The longer it takes to mark, the longer it will take to see what your students need help with. All worksheets come with an answer key to make things easier.
Everything they offer is downloadable and printable right from the website. Common Core Sheets takes your worksheets to the next level by allowing you to customize your lessons. You can select the types of questions that you want to appear on your worksheets. You also get to select if you want fractions simplified or turned into mixed numbers for answers.
The final product gives you two worksheets. The first only has the questions, while the second has all of the answers, including the process to get the solution. K5 learning provides worksheets for classes Kindergarten to the fifth grade.
They cover many topics seen in a curriculum and each subject has several worksheets to use. The PDF that you can download from their website includes worksheets and the answer key.
When your students are learning how to divide fractions you can show them fraction calculators. These are online tools for solving fraction problems quickly. If you use Calculator. When teaching how to divide fractions, tell your students that they're trying to find how many of the divisor can be found in the dividend. The easiest way to divide fractions is to follow three simple steps:.
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