Add and Subtract Unlike Mixed Numbers Worksheets
Unlike mixed numbers are a pair of values that are both composed of a whole number and a fraction, but the denominators of their fractions differ. You can find the sum or difference of these unlike values in the same manner of how you learned to calculate those operations when they have like fractions attached to them, you just need to complete an additional measure. You start all of these problems by converting all the mixed number to have like fraction by finding a common denominator and applying that to all the values before processing the operation. A full lesson of how to do this can be found below. All of these worksheets will provide you with a great opportunity to build upon these skills.
Aligned Standard: Grade 5 Fractions - 5.NF.1
- Sums and Differences of Mixed Numbers Step-by-step Lesson- We get you in the habit of finding common denominators and then proceeding to solve them.
- Guided Lesson - We do a wide range of addition and subtraction problems. We begin with fractions. Then, we move to mixed numbers and using visual models.
- Guided Lesson Explanation - It took me a long time to figure out how to reduce all the fractions.
- Practice Worksheet - A large series of problems for you to work on. We end with visual fractions.
- Matching Worksheet - Match the fraction and mixed number operations to their final outcome.
- Answer Keys - These are for all the unlocked materials above.
Homework Sheets
Remember to get those whole numbers out of the way by finding their sum first and foremost.
- Homework 1 -Remember to add whole numbers to whole numbers and fractions to fractions. The least common denominator of 5 and 10 is 10.
- Homework 2 - We have to simplify this equation to get the final fraction answer.
- Homework 3 - We have to find the L.C.M.
Practice Worksheets
Some of these are visual diagrams and others are number based fractions.
- Practice 1 - You will be given visuals to help you. Write the answer in the simplest form.
- Practice 2 - Make sure to find a common denominator right away. Add the numbers and write its proper fraction.
- Practice 3 - Some of these are just straight up fractions will no leaning at all. Subtract the numbers and write its proper fraction.
Math Skill Quizzes
I tried to just focus on the exact skill here for students.
- Quiz 1 - Go through all the steps that you have learned to now. You will need to balance these guys a bit.
- Quiz 2 - The top heavy fractions can help you pull whole numbers out of them.
- Quiz 3 - Get rid of the whole numbers first. This is a mix of different operations that are played out for you.
How to Add and Subtract Unlike Mixed Numbers
In order to solve these differences and sums it is helpful to start from the ground level and make sure that you know all the fundamentals first.
What is a Mixed Number?
A mixed number or mixed fraction is composed of a whole and a fractional part.
How to Add Mixed Numbers Whom Share the Same Denominator
One method is to transform the mixed number into an improper fraction and then add as appropriate. Another method is as follows:
- Add the numerators of the two fractions.
- Place the result on the common denominator.
- If the fraction is improper (the numerator is larger or equal to the denominator), then it must be converted to a mixed number.
- Add the integers of the two mixed numbers.
- If adding a fraction creates a mixed number, then add the whole part to the previous total.
Example: 1 ⅕ + 3 ⅕ = 4 ⅖
How to Subtract Mixed Numbers That Share the Same Denominator
- If the first numerator is smaller than the second, make it larger.
- Subtract the second numerator from the first.
- Place the difference over the common denominator.
- Subtract the whole portions of the two mixed numbers.
- Formulate the result.
Example: 3 ⅘ - 1 ⅖ = 2 ⅖
How to Add and Subtract Mixed Numbers with Different Denominators
There is no complex explanation here. You simply need to first create equivalent mixed numbers or improper fractions that share a common denominator. Once both mixed values have the same denominator you can just proceed as we have above. This means you can simply add or subtract the numerators of like fractions. The only thing that you may need to do different is to reduce the fraction. It is not always necessary to simplify the end sum or differences, but it is a good habit to get into.