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Adding and subtracting mixed numbers

Updated: 4/28/2022
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13y ago

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Adding and subtracting mixed numbers is similar to adding and subtracting fractions.

Adding and subtracting mixed numbers with like denominators:

1) 5 3/7 + 6 2/7= 11 5/7

a) add the fractions: 3/7 + 2/7 = 5/7

b) add the whole numbers: 5 + 6 = 11

2) 12 3/8 - 2 1/8

a) subtract the fractions and simplify if it is possible: 3/8 - 1/8 = 2/8 = 1/4

b) subtract the whole numbers: 12 - 2 = 10

Adding and subtracting mixed numbers with unlike denominators:

1) 2 3/2 + 5 4/3 = 9 5/6

a) write the fractions as equivalent fractions with a common denominator:

3/2 = (3 x 3)/(2 x 3) = 9/6 and 4/3 = (4 x 2)/(3 x 2) = 8/6

b) add the fractions: 9/6 + 8/6 = 17/6

c) add the whole numbers: 2 + 5 = 7

d) simplify: 7 17/6 = 9 5/6 (since 2 x 6 = 12, and 17 - 12 = 5, then 7 + 2 = 9)

2) 7 1/5 - 5 2/3 = 1 8/15

a) Since 1/5 < 2/3, we borrow 1 (which represents 5/5) form the whole number 7, so we have 6 as a whole number and the fraction 1/5 become:1/5 + 5/5 = 6/5. Now we can subtract as:

6 6/5 - 5 2/3 = 1 8/15

b) write the fractions as equivalent fractions with a common denominator:

6/5 = (6 x 3)/(5 x 3) = 18/15 and 2/3 = (2 x 5)/(3 x 5) = 10/15

b) subtract the fractions: 18/15 - 10/15 = 8/15

c) subtract the whole numbers: 6 - 5 = 1

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Q: Adding and subtracting mixed numbers
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Related questions

What does adding and subtracting mixed numbers help for?

math


What do adding and subtracting mixed numbers means?

To combine the fractions or subtract the fractions. Same method with mixed numbers.


How is the concept of mixed numbers applied to the real world?

Find the sum of two mixed numbers by applying the procedure for adding mixed numbers, Solve a real-world problem by subtracting mixed numbers.


What is the first thing you should look for when adding or subtracting fractions or mixed numbers?

common denominators.


How do you add two negative mixed numbers and one positive mixed number?

Convert them to improper fractions with common denominators and proceed with the adding and subtracting.


What is the definition of adding and subtracting integers?

adding and subtracting integers is when you add and minus 2 numbers


When adding and subtracting decimals will your answer be a mixed number?

Yes


How are subtracting and adding related?

use numbers


How to do arithmetic math?

Arithmetic math is easy to do. All you d in arithmetic math is adding and subtracting fractions, decimals and mixed numbers by letters.


What is adding and subtracting integers?

Integers are whole numbers, both positive and negative. Therefore, adding and subtracting integers would be adding and subtracting whole numbers. Examples: 8+2 -8+2 8-2 -8-2


When adding two numbers you get a sum but when subtracting two numbers what do you get?

a difference


Do you change a mixed number into an improper number while adding and subtracting?

you do what makes sense given the numbers, if the fractions work out beautifully, you can just leave them as mixed numbers, otherwise it's best to keep them as improper fractions