ordering fractions
Compare and Order Fractions
Standard
6.N.7 Compare and order integers (including negative integers), and positive fractions, mixed numbers, decimals, and percents.
Cluster
C2
Vocabulary
Least Common Denominator (LCD)- the least common multiple of two or more denominators
Objective
To compare and order fractions
Lesson
When Compare Fractions starts, you will be given two fractions to compare as in the example below:
You are to choose which of the two fractions is the larger.
Keep this in mind as you make your choice - the larger the numerator
the larger the fraction and the larger the denominator the smaller the
fraction. If the denominators are the same, the fraction with the
larger numerator is larger and if the numerators are the same, the
fraction with the larger denominator is smaller.
One method is to visualize the fractions as pictured below in red:
As you can see 1/4 is less than half the circle while 5/6 is more than half the circle - so 5/6 is larger.
Here, we will introduce the idea of the least common denominator or
LCD. LCD is an idea that will be used in comparing fractions, and
adding and subtracting fractions. The LCD is the smallest number that
both 4 and 6 will divide into evenly. 12 is the LCD for the fractions
1/4 and 5/6 because both 4 and 6 divide evenly into 12.
Once
the LCD is found, each fraction is written with the LCD. As you can see
by the illustration, 1/4 is equal to 3/12 and 5/6 is equal to 10/12.
Once each fraction is renamed with a common denominator, you only have
to compare the numerators - the larger the numerator the larger the
fraction.
See the program RENAME IN HIGHER TERMS for more information on renaming fractions.
One way to determine the LCD is to see if the smaller denominator 4
will divide evenly into the larger denominator 6. If not, then multiply
the larger denominator by 2 to get 12. Will the smaller denominator 4
divide into 12? Yes, so 12 is the LCD. If not, multiply the larger
denominator by 3, then 4, etc. until the smaller denominator divides
into the product.
Practice
If you feel you need more practice you can use the Online Tutorial used with our Text Book
CLick on Lesson 5
Click on Learn the Lesson
Changing Decimals to Fractions
Changing Decimals to Fractions
Standard
6.N.5 Identify and determine common equivalent fractions, mixed numbers, decimals, and percents.
Cluster
C2
Vocabulary
Simplest form-when the numerator and denominator have a GCF of 1
Mixed number- the sum of a whole number and a fraction part
Objective
To write a decimal as a fraction
Lesson
Example: 432.567
The 2 is in the ones place.
The 3 is in the tens place.
The 4 is in the hundreds place.
To the right of the decimal place…
The 5 is in the tenths place.
The 6 is in the hundredths place.
The 7 is in the thousandths place.
The number is read as:
"Four hundred thirty-two and five hundred sixty seven thousandths."
The Relationship Between Fractions and Decimals
The simplest of these conversions comes when the denominator is or can be very easily converted into a multiple of ten. This is the case for the previous two examples. In the next example, we cannot easily change the denominator, so we use the fraction bar as a division sign.
Practice
If you need extra practice click on the Online Tutorial that is used with our Textbook
Click on Learn the lesson
