| | |

15+ Dividing Fractions with the Same Denominator Worksheet | Free Printable

Fractions! When a number cannot be fully divided by a divisor, we can express the result either in decimal or as a fraction. In today’s discussion, we have brought you dividing fractions with the same denominator worksheet.

A fraction is the other form of a decimal. You will need two things to write or make a fraction. A numerator and a denominator.

Explaining Fraction

The upper part of a fraction is called the numerator, and the lower part is the denominator.

So, let’s dive onto today’s journey of dividing fractions with the same denominator worksheet.


What are Fractions with the Same Denominator?

From the heading, you can understand that we have to consider more than one fraction whose denominators, or lower parts, are the same. As in the image below, 2/5 and 3/5 are fractions with the same denominator because the denominator in both fractions is 5.

Explaining Fractions with Same Denominator


4 Fun Examples of Dividing Fractions with the Same Denominator Worksheet

After discussing the theory of fractions and their components, we will now move on to some fun ways for dividing fractions with the same denominator worksheet. To have a generalized idea and build problem-solving skills, we recommend you complete each activity or practice.

Here, we are providing you with a dividing fraction with the same denominator worksheet with answers. This worksheet will be suitable for students in grades 5–7. Before approaching any problem or practice, read the respective details and proceed further.

So, why is the delay? Let’s start our journey of dividing fractions with the same denominator worksheet.


Example 1: Dividing Proper Fractions with the Same Denominator Worksheet

Before starting, many will ask the common question for the above heading! What is a proper fraction? By this time, you have all been introduced to the different types of fractions, right?

For your convenience, I will repeat the term. When, in a fraction, the numerator is smaller than the denominator, then it is called a proper fraction. The decimal value of a proper fraction will always be less than 1.

Now, to do the division, you have to do the following.

  • Firstly, put the two fractions serially, and then put the division sign between them.
  • Secondly, transform the division sign into a multiplication sign and reverse the second fraction.
  • By reversing, I am referring to altering the position of the numerator and denominator of the second fraction relative to each other.
  • Finally, do the division of these numbers and show the final result.

Showing Way of Dividing Proper Fractions with Same Denominator

In the following, you will find worksheets related to the above discussion.


Example 2: Dividing Mixed Numbers with Same Denominator Worksheet

Another example of a fraction is mixed numbers. The mixed numbers consist of a whole or a full number and a proper fraction. You cannot divide or multiply a mixed number as you have done with the proper fraction.

To do that, you need to first transform the mixed number into an improper fraction.

How to do that and the following division Just go through the following points.

  • Firstly, multiply the whole number with the denominator of the proper fraction.
  • Secondly, add the multiplication result to the numerator, and tada! You will get an improper fraction whose denominator is greater than the numerator.
  • Thirdly, change the division sign into multiplication like the previous example, and then again alter the position of the numerator and denominator of the second fraction with each other.
  • Finally, do the division of these numbers as usual and show the newly formed fraction.

Dividing Mixed Numbers with Same Denominator

In the following, you will find worksheets related to the above discussion.


Example 3: Making Same Denominator

In the above two examples, you have found the numerators and the denominators in their simplest form. But what will you do when these numbers are not in their simplest form?

For example, if the first fraction is 25/30 and the second one is 6/36 then they are not in their simplest form. To turn them into their simplest form and do the division, follow the following tricks.

  • First of all, break the numerator and denominator. For example, we can write 25 as 5 x 5 and 30 as 5 x 6.
  • Secondly, see the common factors in both the numerator and the denominator and do the division. Here, 5 is the highest common factor in both.
  • Thirdly, keep the remaining divisions in their respective places.
  • Then, transform the division sign between the two fractions and reverse the second fraction.
  • Finally, find the result as shown in the image.

Making Same Denominator for Dividing Fractions


Example 4: Both Division and Multiplication with Same Denominator Worksheet

As it is becoming very boring to only divide with two fractions, now we are going to involve more than two fractions. Also, this time we will include both division and multiplication signs in the problems. Before solving these kinds of problems, follow the guidelines in the following.

  • Firstly, look for any mixed numbers in the sequence, and if found, turn them into an improper fraction like the second activity.
  • Secondly, transform all the division signs into multiplication and alter the numerator and denominator of the immediate fraction after the sign.
  • Thirdly, make sure to make all the signs into multiplication, and then do the calculation as usual.
  • Finally, after all the above steps, show the final result.

Doing Both Divisions and Multiplications with Same Denominator

In the following, you will find worksheets related to the above discussion.


Download Free Printable PDF

In the above discussion, I have discussed three practical examples of dividing fractions with the same denominator worksheet. These examples will help your students enhance their skills regarding these types of dividing fractions with the same denominator problems.

The free dividing fractions with the same denominator worksheet PDF is available for download below. You can download this practice sheet by clicking on the download button and printing it from your device.

Please feel free to give any feedback regarding this article. Also, if your little one is having trouble doing these activities, let us know in the comment section.

Enjoy!

Similar Posts