- Ratings & Reviews
- Curriculum Links
- Make a Request
- Resource Updates
Please Sign In or Join for FREE to suggest a change for this resource.
- Twinkl updated the Main Version 3 years ago
- Twinkl added Editable Version 3 years ago
- Twinkl added Eco Black and White Version 3 years ago
- Twinkl added Super Eco Colour 3 years ago
- Twinkl added Eco Black and White Version 3 years ago
- Twinkl added Super Eco Colour 3 years ago
How to change a mixed fraction to improper fraction
Help your children to develop and enhance their knowledge of how to change mixed fractions to improper fractions, using this bright and colourful Display Poster.
This fabulous resource shows useful information and step-by-step instructions showing how to change a mixed fraction to an improper fraction and vice versa.
Children can use this wonderful resource as a handy prompt to aid learning. Ideal to keep in maths trays or in workbooks for children to independently refer to. Alternatively, this helpful hint sheet can be added to your display walls to help children solve difficult maths puzzles when undergoing independent work tasks.
Perfect to use on your Working Wall or in your classroom to support children whilst converting mixed numbers into improper fractions.
To get stocked up on effective teaching tools and resources to help teach your children how to change mixed fraction to improper fraction, visit our Improper Fractions Teaching Wiki. There are lots of useful and interesting snippets on the subject and resources to add to your teaching toolkit. It'll also equip you with everything you need to know before creating your lesson plans.
More mixed numbers and improper fractions resources!
If you found this display poster on mixed numbers and improper fractions useful for your learners, then you'll love more of our wonderful resources designed to aid and enhance learning on this topic.
All of our resources are designed by our specialist team and approved by expert teachers to ensure that you're being provided with the highest quality of content. Perfect for helping you to easily plan and prepare your lessons in advance, while saving you valuable time.
Explore some of our top recommendations below:
- Improper Fractions and Mixed Numbers - This activity includes a number of questions, including multiple-choice, conversions, and word puzzles to test your students on their knowledge.
- Improper Fractions PowerPoint - Illustrations accompany each concept taught within the PowerPoint, so children who learn visually can get to grips with it.
- Mixed Number and Improper Fractions Dominoes - a fun way to help children consolidate their understanding of converting top-heavy and mixed number fractions.
Twinkl Top Tip: Use a range of different lesson activities and support materials to appeal to the different learning needs of your class. Why not have a range of activities for children to select from to help them identify their learning preferences and become more autonomous learners?
How do you change a mixed number into an improper fraction?
An improper fraction is where the numerator (the number above the line) is greater than the denominator (the number underneath the line). This shows that we have more than 1 whole. As well as an improper fraction, this is also occasionally referred to as a top-heavy fraction.
To convert this to give a mixed number fraction, we need to:
- Divide the numerator by the denominator.
- The answer should give you a whole number with or without remainders.
- If the answer has no remainders, then the whole number is your answer. If the answer does have remainders, then they become the new numerator in addition to the whole number.
- Cancel the fraction to its simplest form.
To see this practically, you can follow this example: Convert 14/6 to a mixed number fraction.
14 divided by 6 = 2 with a remainder of 2.
2 would be a whole number, and the remainder would now become a numerator to accompany the original denominator.
So 14/6 expressed as a mixed number fraction would be 2, 2/6 (two and two sixths).
This can be simplified further to 2 1/3 (two and one third).
The above video may be from a third-party source. We accept no responsibility for any videos from third-party sources. Please let us know if the video is no longer working.
Mixed Fractions are one of the three types of fractions. It is also called mixed numbers. For example, 21/7 is a mixed number. Learn here all types of fractions in detail.
Table of Contents:
- Definition
- Improper fraction to mixed fraction
- Mixed fraction to improper fraction
- Adding Mixed Fractions
- Subtracting Mixed Fractions
- Multiplying Mixed Fractions
- Mixed Equivalent Fractions
- FAQs
You can understand these
fractions in details in this article, such as its definition, changing of the improper fraction to a mixed fraction and so on. Also, you will learn here to perform operations like multiplying, dividing, adding and subtracting fractions. Read the complete article to become well versed with all the related concepts of these types of fractions.
Definition
It is a form of a fraction which is defined as the ones having a fraction and a whole number.
Example: 2(1/7), where 2 is a whole number and 1/7 is a fraction.
How to convert Improper fraction to a mixed fraction?
- Step 1: Divide the Fraction’s numerator with the denominator, i.e. 15/7.
- Step 2: The integer part of the answer will be the integer part for a mixed fraction, i.e. 2 is an integer.
- Step 3: The Denominator will be the same as original, i.e 7.
- Step 4: So, the improper fraction 15/7 is changed to a Mixed fraction as 2 (1/7)
Some more examples of mixed fractions are 3(¼), 1 (2/9), 7(¾).
Read More Articles:
Mixed fraction to Improper Fraction
- Step 1: Multiply the denominator with the whole number, i.e. Multiply 7 with 2 in the given example, 2(1/7).
7 × 2 =14
- Step 2: Add the numerator of the Fraction to the result in step 1. i.e Add 1+ 14
=15.
- Step 3: Keep the Denominator same i.e. 7.
- Step 4: The Improper fraction obtained is: 15/7.
Adding Mixed Fractions
When it comes to adding Mixed or Improper fractions, we can have either the same denominators for both the fractions to be added or the denominators can differ too.
Here’s a step-wise method to add the improper fraction with same or different denominators.
Note: Before applying any operations such as addition, subtraction, multiplication, etc., change the given mixed fractions to improper fractions as shown above.
| Adding with the same Denominators. Example: 6/4 + 5/4 | Adding with the Different Denominators. Example: 8/6 +12 /8 |
| Step 1: Keep the denominator ‘4’ same. | Step 1: Find the LCM between the denominators, i.e. the LCM of 6 and 8 is 24 |
| Step 2: Add the numerators ‘6’ +’5’ =11. | Step 2: Multiply both Denominators and Numerators of both fractions with a number such that they have the LCM as their new Denominator. Multiply the numerator and Denominator of 8/6 with 4 and 12/8 with 3. |
| Step 3: If the answer is in improper form, Convert it into a mixed fraction, i.e. 11/4 = 2 (¾) | Step 3: Add the Numerator and keep the Denominators same. 32 / 24 + 36 / 24 = 68/24 = 17/6 |
| So, We have 2 (¾) wholes. | Step 4: If the answer is in Improper form, convert it into Mixed Fraction: 2 (⅚) |
Subtracting Mixed Fractions
Here’s a step-wise explanation on how to Subtract the improper fraction with Same or Different Denominators.
| Subtracting with the same Denominators. Example: 6/4 – 5/4 | Subtracting with the different Denominator 12/8 – 8/6 |
| Step 1: Keep the denominator ‘4’ same. | Step 1: Find the LCM between the denominators, i.e. the LCM of 8 and 6 is 24 |
| Step 2: Subtract the numerators ‘6’ -’5’ =1. | Step 2: Multiply both Denominators and Numerators of both fractions with a number such that they have the LCM as their new Denominator. Multiply the numerator and Denominator of 8/6 with 4 and 12/8 with 3. |
| Step 3: If the answer is in improper form, Convert it into a mixed fraction. i.e. 1/4 | Step 3: Subtract the Numerator and keep the Denominators same. 36 / 24 – 32/24 = 4/24 |
| So, We have 1/4 wholes. | Step 4: If the answer is in Improper form, convert it into Mixed Fraction. 4/24 = 1/6 |
Multiplying Mixed Fractions
Example: 2(⅚) × 3 (½)
Solution:
Step 1: Convert the mixed into an improper fraction. 17/6 × 7/2
Step 2: Multiply the numerators of both the fractions together and denominators of both the fractions together. {17 × 7} {6 × 2}
Step 3: You can convert the fraction into the simplest form or Mixed one = 119 / 12 or 9 (11/12)
Definition of Fraction
In simple words, the ratio of the two numbers is called a fraction.
For Example, 15/7 is a fraction, where 15 is a numerator and 7 is a denominator. 7 is the number of parts into which the whole number divides.
A fraction can represent part of a whole.
Kinds of Fractions
There are three types of fractions. Below given table defines all the three of them.
| Types of Fractions | Explanation |
| Proper Fraction | When the numerator is less than Denominator |
| Improper Fraction | When the numerator is greater than the Denominator |
| Mixed Fraction | It is an improper function, which is written as a combination of a whole number and a fraction. |
Mixed Equivalent Fractions
How can we find mixed equivalent fractions? Let us find the answer to this question here.
Two fractions are said to be equivalent if their values are equal after simplification. Suppose ½ and 2/4 are two equivalent fractions since 2/4 = ½.
Now when two mixed fractions are equal to each other then they are equivalent in nature. Hence, if we are converting any two equivalent fractions into mixed fraction then the quotient left, when we divide numerator by denominator should be same.
For example, 5/2 and 10/4 are two equivalent fractions.
5/2: when we divide 5 by 2 we get quotient equal to 2 and remainder equal to 1. So 5/2 could be written in the form of a mixed fraction as 21/2.
Similarly, the fraction 10/4 when we divide 10 by 4 we get quotient equal to 2 and remainder equal to 2. Therefore, 10/4 = 22/4.
Hence, for both mixed fractions 21/2 and 22/4, the quotient value equal to 2.
Video Lesson on Fractions
Learn and Practice more on Fractions and other
mathematical concepts by downloading the BYJU’S app.
Frequently Asked Questions – FAQs
A fraction represented
with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction. A fraction denotes a portion of a
whole. Therefore, if we have to read a fraction say ¾, then it read as three-fourth of a whole. In the same way, we read the other fractions such as: Divide the numerator by denominator. To convert a mixed fraction into improper fraction first we multiply the denominator of the proper fraction to the whole number attach with it and then we add the numerator. To add two or more mixed fractions we need to convert them into improper fractions. Subtraction of mixed fractions is the same as addition method. We need to convert mixed numbers into improper fractions then subtract them.What is a mixed fraction?
How to read a fraction?
½ – half of a whole
¼ – one-fourth of a whole
⅔ – two-third of a whole
⅓ – one-third of a wholeHow to convert an improper fraction into a mixed fraction?
Take quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
For example, in 17/3, divide 17 by 3 to get 5 as quotient and 2 as remainder. Thus,
17/2 = 52/3 How to convert a mixed fraction into an improper
fraction?
For example, 31/2 is a mixed fraction.
Multiply 2 and 3, 2×3 = 6
Add 6 and 1(numerator) = 6+1 = 7
Hence, 31/2 = 7/2How to add mixed fractions?
Then we need to check if the denominators of the given fractions are equal or not.
If they are equal then we can add them directly but if they are unequal we need to find the LCM of denominators and make them equal.
Later we can add the numerators, keeping the denominator same.How to subtract mixed fractions?