Last week I sent out a blog describing my **FRACTION SANDWICH **approach to dividing a fraction by a fraction. The title of the blog was: Dividing Fractions: From Annoying to FUN!

In today’s post I offer ten solid problems that help students practice the FRACTION SANDWICH, with answers just below.

Note: if your students struggle with these problems, it’s very possible that some of them could brush up on the rules of divisibility. For a quick review of those rules, go to:

http://mathforum.org/dr.math/faq/faq.divisibility.html

**Try these:**

a) (2/9) / (8/12)

b) (12/16) / (15/40)

c) (36/21) / 63/35)

d) (44/24) / (77/48)

e) (15/49) / (21/56)

f) (39/52) / (24/56)

g) (27/45) / (33/65)

h) (12/18) / (28/45)

i) (17/51) / (99/121)

j) (28/18) / (42/54)

**Answers:**

a) (2/9) / (8/12) = 1/3

b) (12/16) / (15/40) = 2

c) (36/21) / 63/35) = 20/21

d) (44/24) / (77/48) = 1 and 1/7

e) (15/49) / (21/56) = 40/49

f) (39/52) / (24/56) = 1 and 3/4

g) (27/45) / (33/65) = 1 and 2/11

h) (12/18) / (28/45) = 1 and 1/14

i) (17/51) / (99/121) = 1/27

j) (28/18) / (42/54) = 2

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