FRACTIONS, LCM, AND GCF

Reduce the following fraction to lowest terms: 16/20

4/5

Reduce the following fraction to lowest terms: 7/14

1/2

Reduce the following fractions to lowest terms: 6/9

2/3

Reduce the following fraction to lowest terms: 3/8

3/8

Find the greatest common factor of 28 and 42

Work: Use prime factorization and find what they have in common. Answer: 14

equivalent fractions

fractions representing the same value

Find the greatest common factor of 30 and 105.

Work: Use prime factorization and find what they have in common. Answer: 15

Find the greatest common factor of 6 and 15.

Work: Use prime factorization and find what they have in common. Answer: 3

Find the least common multiple of 15 and 12.

Work: Use prime factorization. Then, multiply the top factors together. After that, multiply the not common # by the answer of the top multiplication. Answer: 60

Find the least common multiple of 4 and 6.

Work: Use prime factorization. Then, multiply the top factors together. After that, multiply the not common # by the answer of the top multiplication. Answer: 12

Find the least common multiple of 10 and 14.

Work: Use prime factorization. Then, multiply the top factors together. After that, multiply the not common # by the answer of the top multiplication. Example: 10 = 2, 5 2 times 5 = 10 14- 2,7 = 10 times 7= 70 Answer: 70

lowest terms

the only common factor of the numerator and the denominator of the fraction is 1

greatest common factor

largest number that divides evenly into both the numerator and the denominator of a fraction

least common multiple

smallest number into which two numbers can be divided evenly