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Ordering Fractions on a Number Line

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Basics on the topic Ordering Fractions on a Number Line

Axel, Tank, and Dundee just finished a cake eating contest and want to see who won! They need to figure out who has the least amount of cake left by ordering fractions on a number line so they can identify the smallest fraction of cake left!

Transcript Ordering Fractions on a Number Line

"This cake eating contest was fun! I wonder who won?" "It seems like we each have a fraction of cake left. Whoever has the LEAST amount of cake left is the winner." Wait, how do we figure out who won?" Let's help Axel and Tank by Ordering Fractions on a Number Line. We can use a number line like THIS to help us with ordering fractions. For example, Dundee has four-tenths of cake left, Axel has five-eighths left, and Tank has one-fourth left. Since we are comparing cakes, we will use fraction circles to model the fractions. HERE we see four-tenths, five-eighths, and one-fourth represented using fraction circles. Now that we've represented the fractions using fraction circles, let's represent them using number lines. Let's start with four-tenths. The denominator tells us that the number line is divided into ten equal parts. That means these lines HERE represent tenths. Now, count the number of parts from zero shown in the numerator, which is four, and label four-tenths HERE. The next fraction we need to label is five-eighths. The denominator tells us that the number line is divided into eight equal parts. That means these lines HERE represent eighths. What is the next step? Now, count the number of parts from zero shown in the numerator, which is five, and label five-eighths HERE. The last fraction we need to label is one-fourth. What is the first step? Look at the denominator and divide the number line into four equal parts. What is the next step? Now, count the number of parts from zero shown in the numerator, which is one, and label one-fourth HERE. Now that we have put each fraction on a number line let's put them together to see which fraction is the SMALLEST? One-fourth is the smallest because it is first on the number line. Tank has the LEAST amount of cake left, that means he won the cake eating contest! Remember, we can use a number line to help us with ordering fractions. When we label fractions a number line, first, look at the denominator of each fraction. Next, divide up the number line into equal parts based on the denominator. Last, count the number of parts from zero shown in the numerator and label the fraction. Repeat these steps until all the fractions are labeled on the number line. "Ughhhh, maybe I shouldn't have had all those cakes for breakfast." "Dundee! Are you alright!?" "I'm fine! When's dessert?"