We have learned about division by numbers. In our previous article, we discussed the division of fractions by fractions. What should we do when we need to divide whole numbers by unit fractions?
The article also has some activities that will allow children to get familiar with the process easily and interactively.
Let us jump into the topic right away!
4 Activities on Dividing Whole Numbers by Unit Fractions
Now that we’re aware of the procedure by which we can divide whole numbers by unit fractions, now we can practice some activities related to the topic that will help us understand the topic better. So, without further ado, let’s put our lessons today to good use and see if we can solve them all. The activities are listed as follows:
Unit Fractions: Definition with Examples
Unit fractions are fractions that have 1 as the numerator and any whole number as the denominator. Some examples of unit fractions can be 1/2, 1/4, 1/25, 1/100 and so on. Some graphical representations of unit fractions are shown in the following image:
Difference Between Unit Fractions and Non-Unit Fractions
Non-unit fractions are fractions that have a numerator value greater than 1. The primary differences between these two types of fractions are as follows:
- Unit fractions have a numerator of 1. On the other hand, non-unit fractions have a numerator greater than 1.
- The value of unit fractions is always less than or equal to 1 but the value of non-unit fractions can be greater or less than or equal to 1.
- Arithmetic operations such as addition, and subtraction are easier for unit fractions compared to non-unit fractions. For instance, if we want to add 1/2 and 1/3, we need to find a common denominator 6, and add the alternate denominators 5 and 6. But, if we want to add two non-unit fractions such as 5/6 and 7/4, we need to find the common denominator, multiply alternate denominators with the individual numerator values and then add the numerator values.
Dividing Whole Numbers By Unit Fractions: Step Wise Analysis
Change the Whole Number into a Fraction At first, we convert the whole number into a fraction by putting 1 in the denominator. This will help us in our division process avoiding mistakes of operations such as multiplication. For instance, if the whole number is 3, we simply write it down as 3/1 and convert it into a fraction.
Swap the Numerator and Denominator and Change the Operator The next step is to change the division operator into a multiplication operator and swap the numerator with the denominator of the fraction, that is, making the existing fraction reciprocal. For instance, for the expression 3÷1/5, we change it to 3/1 x 5/1.
Multiply the Numerators and Denominators After swapping the numerator and denominator and changing the operator, we multiply the numerators and denominators separately and find the result. For the given example of 3/1 x 4/1, we will get the result 20/1 or 20.
Simplify This step is not required for dividing whole numbers by unit fractions as the denominator is always 1. For division by non-unit fractions, we might have to simplify the fraction into its non- divisible digits. For instance, if the expression was 3÷3/5, where 3/5 is the non-unit fraction, then the result would have been like the expression 3/1 x 5/3 = 15/3. Now, 15/3 has the common multiple 3. So, after simplification, the result would be 5/1 or 5.
In this activity, we will look at some models and break them down into parts to understand the division of those whole models by unit fractions. You will be able to visualize the operation and match your results in this activity. Let’s learn to divide whole numbers by unit fractions using models!
Fill in the Gaps
This activity will be basic. You will write down the correct answer in the gaps after dividing by unit fractions. An exercise sheet is shown below.
In this matching game, we will match the correct answers that are present in the right column. It is pretty straightforward to explain. The answers will help the individual animals to reach their favorite food. Can you help them have their favorite food? Let’s see.
Cut and Paste Game Fun
Help us draw this Santa by cutting and pasting the proper parts in their respective places. The parts are each labeled with an expression and their solutions are present on the incomplete face of Santa. Only you can help this Santa to sort and by doing so, help the other children get their gifts on Christmas.
Word Problems on Dividing Whole Numbers by Unit Fractions
In the following worksheet, some word problems are listed that will help you solve related problems based on real-life scenarios. The worksheet for word problems is shown as follows:
Download This Free Printable PDF
So, we have learned how we can divide whole numbers by unit fractions. Now, we can also divide whole numbers by any fractions if we want, right?
This free dividing whole numbers by unit fractions worksheet PDF is available for download below. You can download this practice sheet by clicking on the download button on the top right portion. So, let us put all our understanding into practice! For more math exercises, visit our store at teacherspayteachers.com
Hello there! I am Mohammad Abrar Uddin and I am an Engineering Graduate from BUET. I write and design articles related to Math topics in You’ve Got This Math and my job is to make math easy and full of fun for everyone!