1. Find all the factors for each number. If a number is a prime number, write “prime” next to it.
   1. 4                                                                                      
   2. 10                                                                                    
   3. 21                                                                                    
   4. 6                                                                                     
   5. 2                                                                                     
   6. 16                                                                                   

    

2. Find the factors, common factors and the Greatest Common Factor (GCF) (fill in Table 3.6.1).
   

   Table 3.6.1: Question 2 Fill in the Table

   Fraction	Factors	Common Factors	GCF
   $\dfrac{2}{8}$
   $\dfrac{8}{16}$
   $\dfrac{24}{32}$
   $\dfrac{9}{12}$
   $\dfrac{5}{15}$
   $\dfrac{25}{30}$
   $\dfrac{4}{12}$

    

3. Express each fraction in lowest terms. Remember: be sure to write the greatest common factor (GCF) you are dividing with.
   1. $\dfrac{6}{9}$ =
   2. $\dfrac{6}{18}$ =
   3. $\dfrac{12}{28}$ =
   4. $\dfrac{15}{30}$ =
   5. $\dfrac{4}{24}$ =
   6. $\dfrac{10}{18}$ =

    

4. Circle the fractions that are in lowest terms.
   1. $\dfrac{1}{2}$
   2. $\dfrac{3}{6}$
   3. $\dfrac{4}{5}$
   4. $\dfrac{3}{9}$
   5. $\dfrac{4}{8}$
   6. $\dfrac{5}{10}$

    

5. Find all the fractions that are not already in lowest terms and reduce them. Write “lowest terms” next to those already reduced.
   1. $\dfrac{4}{8}$ =
   2. $\dfrac{2}{5}$ =
   3. $\dfrac{8}{12}$ =
   4. $\dfrac{15}{35}$ =
   5. $\dfrac{42}{80}$ =
   6. $\dfrac{6}{36}$ =
   7. $\dfrac{9}{15}$ =

    

6. State if each pair of fractions is equivalent (=) or not equivalent (≠).
   1. $\dfrac{4}{5}$                   $\dfrac{7}{8}$
   2. $\dfrac{10}{12}$                   $\dfrac{5}{6}$
   3. $\dfrac{5}{15}$                  $\dfrac{1}{3}$
   4. $\dfrac{6}{7}$                   $\dfrac{36}{41}$
   5. $\dfrac{3}{5}$                   $\dfrac{15}{25}$

    

7. Round to the nearest whole number.
   1. $1\dfrac{1}{4}$ =
   2. $4\dfrac{3}{4}$ =
   3. $6\dfrac{4}{5}$ =
   4. $3\dfrac{1}{4}$ =
   5. $12\dfrac{8}{9}$ =

3.6: Review Answers

1. Find all the factors for each number.
   1. 1,2,4
   2. 1,2,5,10
   3. 1,3,7,21
   4. 1,2,3,6
   5. 1,2, prime
   6. 1,2,4,8,16

    

2. Find the factors, common factors and the GCF (see Table 3.6.2).
   

   Table 3.6.2: Question 2 Answwers

   Fraction	Factors	Common Factors	GCF
   $\dfrac{2}{8}$	1,2 1,2,4,8	1,2	2
   $\dfrac{8}{16}$	1,2,4,8 1,2,4,8,16	2,4,8	8
   $\dfrac{24}{32}$	1,2,3,4,6,8,12,24 1,2,4,8,16,32	2,4,8	8
   $\dfrac{9}{12}$	1,3,9 1,2,3,4,6,12	3	3
   $\dfrac{5}{15}$	1,5 1,3,5,15	5	5
   $\dfrac{25}{30}$	1,5,25 1,2,3,5,6,10,15,30	5	5
   $\dfrac{4}{12}$	1,2,4 1,2,3,4,6,12	24	4

    

3. Express each fraction in lowest terms.
   1. $\dfrac{2}{3}$
   2. $\dfrac{1}{3}$
   3. $\dfrac{3}{7}$
   4. $\dfrac{1}{2}$
   5. $\dfrac{1}{6}$
   6. $\dfrac{7}{8}$
   7. $\dfrac{5}{9}$

    

4. Circle the fractions that are in lowest terms.
   1. $\dfrac{1}{2}$
   2. $\dfrac{4}{5}$

    

5. Find all the fractions that are not already in lowest terms and reduce them.
   1. $\dfrac{1}{2}$
   2. lowest terms
   3. $\dfrac{2}{3}$
   4. lowest terms
   5. $\dfrac{(3)}{(7)}$
   6. $\dfrac{21}{40}$
   7. $\dfrac{1}{6}$
   8. $\dfrac{3}{5}$

    

6. State if each pair of fractions is equivalent (=) or not equivalent (≠).
   1. ≠
   2. =
   3. =
   4. ≠
   5. =

    

7. Round to the nearest whole number.
   1. 1
   2. 5
   3. 7
   4. 3
   5. 13

Attribution