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Subtraction of Mixed Numbers Help

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By — McGraw-Hill Professional
Updated on Sep 21, 2011

Subtraction of Mixed Numbers

Subtraction of mixed numbers is a little more complicated than addition of mixed numbers since it is sometimes necessary to borrow .

To subtract two mixed numbers:

  • Step 1 Find the LCD of the fractions .
  • Step 2 Change the fractions to higher terms with the LCD .
  • Step 3 Subtract the fractions, borrowing if possible .
  • Step 4 Subtract the whole numbers .
  • Step 5 Reduce or simplify the answer if necessary .

When the fraction in the subtrahend is smaller than the fraction in the minuend, borrowing is not necessary.

Example

Subtract  Subtraction of Mixed Numbers

Solution

Subtraction of Mixed Numbers

Principles of Borrowing

When the fraction in the subtrahend is larger than the fraction in the minuend, it is necessary to borrow from the whole number.

When borrowing is necessary, take one (1) away from the whole number, change it to a fraction with the same numerator and denominator, and then add it to the fraction .

Examples

Example 1

Borrow 1 from  Principles of Borrowing

Solution 1

Principles of Borrowing

Example 2

Borrow 1 from Principles of Borrowing

Solution 2

Principles of Borrowing

The next examples show how to use borrowing when subtracting mixed numbers.

Example 3

Subtract Principles of Borrowing

Solution 3

Principles of Borrowing

Example 4

Subtract Principles of Borrowing .

Solution 4

Principles of Borrowing

Example 5

Subtract Principles of Borrowing

Solution 5

Principles of Borrowing

Subtraction of Mixed Numbers Practice Problems

Practice

Subtract:

1. Principles of Borrowing

2. Principles of Borrowing

3. Principles of Borrowing

4. Principles of Borrowing

5. Principles of Borrowing

6. Principles of Borrowing

7. Principles of Borrowing

8. Principles of Borrowing

9. Principles of Borrowing

10. Principles of Borrowing

Answers

1. Principles of Borrowing

2. Principles of Borrowing

3. Principles of Borrowing

4. Principles of Borrowing

5. Principles of Borrowing

6. Principles of Borrowing

7. Principles of Borrowing

8. Principles of Borrowing

9. Principles of Borrowing

10. Principles of Borrowing

Practice problems for these concepts can be found at: More Advanced Fractions Practice Test.

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