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Reducing Fractions to Lowest Terms Help

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

Reducing Fractions to Lowest Terms

A fraction is said to be in lowest terms if both the numerator and denominator cannot be divided evenly by any number except one.

To reduce a fraction to lowest terms, divide the numerator and the denominator by the largest number that divides evenly into both .

Examples

Example 1

Reduce Reducing Fractions to lowest terms.

Solution 1

Divide both numerator and denominator by 6, as shown:

Reducing Fractions

Example 2

Reduce Reducing Fractions to lowest terms.

Solution 2

Divide the numerator and denominator by 5, as shown:

Reducing Fractions

If the largest number is not obvious, divide the numerator and denominator by any number (except one) that divides into each evenly; then repeat the process until the fraction is in lowest terms.

Example 3

Reduce Reducing Fractions to lowest terms.

Solution 3

First divide by 2:

Reducing Fractions

Next divide by 7:

Reducing Fractions

Math Note: When the numerator of a fraction is zero, the value of the fraction is zero. For example, Reducing Fractions

Practice

Reduce each of the following fractions to lowest terms:

1. Reducing Fractions

2. Reducing Fractions

3. Reducing Fractions

4. Reducing Fractions

5. Reducing Fractions

6. Reducing Fractions

7. Reducing Fractions

8. Reducing Fractions

9. Reducing Fractions

10. Reducing Fractions

Answers

1. Reducing Fractions

2. Reducing Fractions

3. Reducing Fractions

4. Reducing Fractions

5. Reducing Fractions

6. Reducing Fractions

7. Reducing Fractions

8. Reducing Fractions

9. Reducing Fractions

10. Reducing Fractions

Practice problems for these concepts can be found at: Fractions Basic Concepts Practice Test.

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