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Math Lesson 3.3.7 - Ordering Fractions in the Number Line

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Welcome to our Math lesson on Ordering Fractions in the Number Line, this is the seventh lesson of our suite of math lessons covering the topic of Comparing Fractions. Ordering Fractions, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.

Ordering Fractions in the Number Line

We can put fractions on the number line in ascending order from left to right (the smallest in the leftmost position). Thus, if we consider the figure below,Math Tutorials: Comparing Fractions. Ordering Fractions Example it is clear that
1/3 < 3/6 < 7/12
because 1/3 is more on the left in the number line compared to the other two fractions (7/12 is more on the right than the others). Math Tutorials: Comparing Fractions. Ordering Fractions Example This rule is also true in the negative part of the number axis.

Example 7

Order the following fractions from the biggest to the smallest using the number line.
17/10; 5/3; 8/5

Solution 7

All the above fractions are improper fractions of values between 0 and 2. Therefore, we can show only this part of the number axis in the figure. Math Tutorials: Comparing Fractions. Ordering Fractions Example From the figure above, it is evident that 8/5 is more on the left of the other two fractions in the number axis while 17/10 is more on the right This means 17/10 is the biggest fraction in the list while 8/5 the smallest. Therefore, when our fractions are written in the descending order (from the biggest to the smallest), we obtain
17/10 > 5/3 > 8/5

More Comparing Fractions. Ordering Fractions Lessons and Learning Resources

Fractions Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
3.3Comparing Fractions. Ordering Fractions
Lesson IDMath Lesson TitleLessonVideo
Lesson
3.3.1Comparing Fractions with the Same Denominator
3.3.2Comparing Fractions with the Same Numerator
3.3.3Comparing Fractions with Different Numerators and Denominators
3.3.4Comparing Improper Fractions and Mixed Numbers
3.3.5Adding or Subtracting the Numerator or Denominator of a Fraction by the Same Number
3.3.6Ordering Fractions
3.3.7Ordering Fractions in the Number Line
3.3.8Applications of Fractions Comparison in Practice

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  7. Continuing learning fractions - read our next math tutorial: Operations with Fractions

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