Math 6High (Period 3)

Mixed Numbers & Improper  Fractions 2.7 

What are Mixed Numbers?  --> sum of a whole number and a fraction
6 3/5 = 6 + 3/5

improper fraction -->  numerator is greater than or equal to the denominator.
4/3 and 8/8 are both improper

Write 2 2/5 as an improper faction
2 + 2/5  10/5 + 2/5 = 12/5

3 1/4 = 13/4

2 5/6 = 17/6


Write an improper fraction as a mixed number

7/3 =  2 1/3

5/4 = 1 1/4

11/6 = 1  5/6

16/5 = 3  1/5

order the following from least to greatest

4/3,  5/6,   1,  2/3,   1 1/6

first notice two are smaller than 1 and two are larger
Then all you have to do is compare the two smaller than 1
2/3 < 5/6

compare the two that are larger than 1

1 1/6 < 4/3
so
2/3 < 5/6 < 1 < 1 1/6 < 4/3

Refer to your notes on the various ways to compare two fractions.

Then we ordered numbers on a number line.
We graphed 7/5 on a number line  changing 7/5 to 14/10 to make it easier to plot.