Rational Numbers

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IMPROPER FRACTION TO MIXED NUMBER

2 and 2

__ Multiply denominator by whole number, then add numerator! 3x2 = 6 + 2 = 8 Now it's 8/3 :3

3

MIXED NUMBER TO IMPROPER FRACTION

8/3 or Eight divided by three.

8 divided by 3 is 2

3 l 8

-6

_______

2

THREE Becomes denominator

REMAINDER Two becomes numerator

AND TWO ON TOP OF THE 8 BECOMES DIVISOR

Use division to change a fraction to a decimal.

Convert 5 and 9/20 to decimal. How you ask? o-o Easy ;3

DIVIDE! 9 divided by 20 = 0.45 Now add the whole number aka 5 :) 5.45..Boom

Decimal to Fraction :3

2.93

3 Is the Hundredths place!

Tis is now 2 and 93/100 Easy Bewm :3

DECIMAL TO PERCENT :D

0.87

Write as fraction with denominator of 100 ;3

87/100

Numerator is percent!

OORRR......

Just move the decimal two places to the right

0.87

08.7

087.

Boom 87%

FRACTION TO PERCENT

3/5

First convert fraction to decimal

3 Divided by 5 becomes 0.6

Convert decimal to percent

The 6 is in the tenths place!

0.6 = 60%

So the fraction 3/5 = 60%

Any number that can be written as a proper or improper fraction is a rational number.

There are several ways to compare rational numbers. One way is to rewrite each fraction using the least common denominator (LCD)

3/4, 3/5, 1/2

Find LCD that all three of them share

The Lowest is 20!

Now multiply them all

3/4 = 3*5 and 4 *5 which the fraction is now 15/20

3/5 becomes 12/20

1/2 becomes 10/20

Now Order the Fractions!

10/20 ----> 12/20 ----> 15/20

Arranged from smallest to largest. Increasing.

Now you can change it back and answer with

1/2, 3/5, 3/4

Another way to compare rational numbers is to convert fractions to decimals.

-63/8

-8 AND 4/5

-7.54

DIVIDE!

-63/8 Becomes -7.875

-8 AND 4/5 becomes -8.8

With this you can do..

8 PLUS 4 Divided by 5

Now..Order the decimals..

-8.8 ---> -7.875 ----> -7.54

Then just put the original answers back!

Comparison Property!

Cross Products

9/14 ......13/24

9 x 24

216

13 x 14

182

216 is greater > than 182

Therefore 9/14 is > than 13/24

Between any two rational numbers are an infinite number of other rational numbers. This property of rational numbers is known as the density property of rational numbers.

To find a rational number between two given rational numbers, find the average of the given numbers.

To rational number between 4 and 5, find their average.

4+5 = 9 divided 2 = 4 and 1/2

Add

Divide By 2

4 and 1/2 is a rational number between 4 and 5

3/5 and 9/10

Multiply 3/5 by 2

you now get

6/10 + 9/10 which = 15/10 now divide 2 which = 15/20

(MESSAGE ABOUT THIS TOPIC OF UNIT ONE)

Kenae! You got a B So Far on Your UNIT 1 1.03 Quiz! If you' need a grade boost, take it a again to get an A