1. 4
Rational Numbers: Positive and Negative Fractions

2. R.1 Fractions
4.2 Writing Fractions in Lowest Terms
Objectives
Identify fractions written in lowest terms.
Write a fraction in lowest terms using common factors.
Write a number as a product of prime factors.
Write a fraction in lowest terms using prime factorization.
Write a fraction with variables in lowest terms.

3. Identify fractions written in lowest terms.

4. Identify fractions written in lowest terms.
Are the following fractions in lowest terms? If not, find a common factor of the numerator and denominator (other than 1).
Example
(a)
(b)
The numerator and denominator have no common factor other than 1, so the fraction is in lowest terms.
The numerator and denominator have a common factor of 3, so the fraction is not in lowest terms.

5. Write a fraction in lowest terms using common factors.

6. Write a fraction in lowest terms using common factors.
Example
Divide by a common factor to write the fraction in lowest terms.
The greatest common factor of 20 and 24 is 4. Divide both numerator and denominator by 4.

7. Write a fraction in lowest terms using common factors.
Example
Divide by a common factor to write the fraction in lowest terms.

8. Write a fraction in lowest terms using common factors.
Example
Divide by a common factor to write the fraction in lowest terms.

9. Write a number as a product of prime factors.

10. Write a number as a product of prime factors.
Label each number as prime or composite or neither.
Example

11. Write a number as a product of prime factors.

12. Write a number as a product of prime factors.
Find the prime factorization of 48.
Example

13. Write a number as a product of prime factors.
Find the prime factorization of 225.
Example

14. Write a number as a product of prime factors.
Find the prime factorization of 60.
Example

15. Write a number as a product of prime factors.
Find the prime factorization of 72.
Example

16. Write a fraction in lowest terms using prime factorization.

17. Write a fraction in lowest terms using prime factorization.
Write in lowest terms.
Example

18. Write a fraction in lowest terms using prime factorization.
Write in lowest terms.
Example

19. Write a fraction with variables in lowest terms.
Write in lowest terms.
Example

20. Write a fraction with variables in lowest terms.
Write in lowest terms.
Example

21. Write a fraction with variables in lowest terms.
Write in lowest terms.
Example