#### Answer

8/14, 12/21, 16/28, 20/35, and 24/42

#### Work Step by Step

In order to find equivalent fractions, we multiply each fraction by one (which is allowed because anything times one is itself). However, we don't write 1; rather, we multiply by other fractions that equal one, such as 2/2, 3/3, 4/4, 5/5, 6/6, 7/7, etc. Thus, we find that 5 ways to write 4/7 include: 8/14, 12/21, 16/28, 20/35, and 24/42.