A. So, If You Know Fractions, Then You Know Mixed

MIXED NUMBERS

I. Definition: A mixed number is a number that has a whole number part and a fraction part.

A. So, if you know fractions, then you know mixed

numbers.

B. Example: Represent using number bars.

=

C. Example: Represent using number bars.

=

0 10 20 30 40

D. Example: Pour glasses of water.

E. Example: The picture below represents a 3-mile race.

The X represents where a runner was

disqualified. About how many miles did the

runner run?

0 miles x 3 miles

F. Example: Which is greater?

Solution: EASY!! The bigger whole number is greater

G. Example: This morning, Mrs. Sladich drank cans of

diet dew. If she drinks 2 more cans this

afternoon, how many total cans of diet dew

would she have drank?

II. Mixed Numbers – What’s it closest to?

1. Mixed numbers are just “off-shoots” of fractions. So, whatever you know about fractions can just as easily be translated to mixed numbers. There’s nothing new to learn.
2. Recognizing that a particular fraction is close to 0 or close to 1 translates into recognizing that a particular mixed number is close to one integer or another.

C. Example: What integer is closest to?

Solution: 18 because is less than and close to 0.

D. Example: What integer is closest to?

Solution: 31 because is more than and close to 1.

E. Example: Fill-in-the-Blank

a) is close to ______

b) is close to ______

F. Complement – what’s left?

1. Example: Jill has 4 Hershey bars. If she eats of

them, how many are left?

Solution:

2. Example: Jill eats of her Hershey bars, what’s

left?

Solution:

III. Playing “Halvsies”

1. Playing halvsies with fractions leads to the same thing with mixed numbers.
2. Example: Is less than or greater than ?

Solution: Easy!

1. Practice: Compare each fraction to

a) is ______than

b) is ______than

c) is ______than

d) is ______than

IV. Comparing Mixed Numbers

1. If the whole number part is different – then it’s GAME OVER!
2. Example: Which is greater?

C. If the whole number part is the same – then get a C.D. …

UNLESS IT’S OBVIOUS!

1. Examples: Which is greater?

a)

Solution: because the fractions have the same

numerator, and the smaller the denominator, the larger

the fraction.

b)

Solution: because the fractions have the same

denominator, and the larger the numerator, the larger the fraction.

c) Not obvious, so find a c.d.

Solution: is the larger fraction.

E. Arrange the following sets of fractions in order from least to greatest:

a)

Solution:

b)

Solution: