Assess Yourself

Sorry, that is not right. This number line shows ${ \frac{1}{2} }$ .

That is right! This number line does not show ${ \frac{1}{2} }$ or ${ \frac{1}{5} }$ .

Sorry, that is not right. This number line shows ${ \frac{1}{5} }$ .

Correct! This number line does not show ${ \frac{3}{6} }$ or ${ \frac{3}{8} }$ .

Sorry, that is not correct. This number line shows ${ \frac{3}{6} }$ .

Sorry, that is not correct. This number line shows ${ \frac{3}{8} }$ .

3. Put ${ \frac{2}{2} }$ , ${ \frac{2}{4} }$ , and ${ \frac{2}{6} }$ in order from least to greatest. Use the number lines below.

Sorry, that is not right. The correct fractions are listed in order from greatest to least instead of least to greatest. Try again!

Sorry, that is not right. These fractions have their denominators in the correct order, but they have the incorrect numerator.

That is right! The correct fractions are listed in order from least to greatest.

Sorry, that is not right. These fractions have their denominators in the correct order, but they are not the correct fractions.

4. Put ${ \frac{4}{5} }$ , ${ \frac{4}{4} }$ , and ${ \frac{4}{7} }$ in order from greatest to least. Use the number lines below.

Correct! The correct fractions are listed in order from greatest to least.

Sorry, that is not correct. These fractions have their denominators in the correct order, but they have the incorrect numerator.

Sorry, that is not correct. The correct fractions are listed in order from least to greatest instead of greatest to least.

Sorry, that is not correct. These fractions are not in order from greatest to least OR least to greatest. Try again!

Sorry, that is not right. The correct fractions are listed in order from greatest to least instead of least to greatest. Try again!

That is right! The correct fractions are listed in order from least to greatest.

Sorry, that is not right. These fractions have their denominators in the correct order, but they have the incorrect numerator.

Sorry, that is not right. These fractions are not in order from greatest to least OR least to greatest. Try again!

6. Use the number lines below to compare the two fractions. Then type the correct symbol in the circle.

Sorry, that is not correct. ${ \frac{4}{6} }$ is not greater than ${ \frac{4}{6} }$ .

Sorry, that is not correct. ${ \frac{4}{6} }$ is not less than ${ \frac{4}{6} }$ .

Correct! ${ \frac{4}{6} }$ is equal to ${ \frac{4}{6} }$ .

That is right! ${ \frac{1}{3} }$ is greater than ${ \frac{1}{6} }$ .

Sorry, that is not right. ${ \frac{1}{3} }$ is not less than ${ \frac{1}{6} }$ .

Sorry, that is not right. ${ \frac{1}{3} }$ is not equal to ${ \frac{1}{6} }$ .

Correct! ${ \frac{6}{7} }$ is greater than ${ \frac{6}{8} }$ .

Sorry, that is not correct. ${ \frac{6}{7} }$ is not less than ${ \frac{6}{8} }$ .

Sorry, that is not correct. ${ \frac{6}{7} }$ is not equal to ${ \frac{6}{8} }$ .

9. Read the word problem below. Use the number line or the denominators to compare the fractions. Choose the sentence that matches your work.

Donte, Joe, and Alani want pieces of cake. They can have ${ \frac{3}{5} }$ of the chocolate cake or ${ \frac{3}{4} }$ of the vanilla cake. Which flavor will give the superheroes more cake?

Two number lines.

Top number line from 0 to 1 with 5 spaces between. Number line labeled from ${ \frac{0}{5} }$ to ${ \frac{5}{5} }$ .

Bottom number line from 0 to 1 with 4 spaces between. Number line labeled from ${ \frac{0}{4} }$ to ${ \frac{4}{4} }$ .

Sorry, that is not right. The fraction of chocolate cake, ${ \frac{3}{5} }$ , is not greater than the fraction of vanilla cake, ${ \frac{3}{4} }$ .

That is right! The fraction of vanilla cake, ${ \frac{3}{4} }$ , is greater than the fraction of chocolate cake, ${ \frac{3}{5} }$ .

Sorry, that is not right. The fraction of chocolate cake, ${ \frac{3}{5} }$ , is not equal to the fraction of vanilla cake, ${ \frac{3}{4} }$ .

10. Read the word problem below. Use the number line or the denominators to compare the fractions. Choose the sentence that matches your work.

The fraction superheroes want pieces of cake. They can have ${ \frac{4}{6} }$ of the banana cake or ${ \frac{4}{7} }$ of the strawberry cake. Which flavor will give the superheroes more cake?

Two number lines.

Top number line from 0 to 1 with 6 spaces between. Number line labeled from ${ \frac{0}{6} }$ to ${ \frac{6}{6} }$ .

Bottom number line from 0 to 1 with 7 spaces between. Number line labeled from ${ \frac{0}{7} }$ to ${ \frac{7}{7} }$ .

That is right! The fraction of banana cake, ${ \frac{4}{6} }$ , is greater than the fraction of strawberry cake, ${ \frac{4}{7} }$ .

Sorry, that is not right. The fraction of strawberry cake, ${ \frac{4}{7} }$ , is not greater than the fraction of banana cake, ${ \frac{4}{6} }$ .

Sorry, that is not right. The fraction of banana cake, ${ \frac{4}{6} }$ , is not equal to the fraction of strawberry cake, ${ \frac{4}{7} }$ .

Learning Coach — Comparing and Ordering with Denominators

Objectives

Skills Needed

Materials Needed

Keywords

Assess Yourself

How well do you understand the ideas in this lesson?

Show What You Know!

1. Which number line DOES NOT show either ${ \frac{1}{2} }$ or ${ \frac{1}{5} }$ ?

2. Which number line DOES NOT show either ${ \frac{3}{6} }$ or ${ \frac{3}{8} }$ ?

3. Put ${ \frac{2}{2} }$ , ${ \frac{2}{4} }$ , and ${ \frac{2}{6} }$ in order from least to greatest. Use the number lines below.

4. Put ${ \frac{4}{5} }$ , ${ \frac{4}{4} }$ , and ${ \frac{4}{7} }$ in order from greatest to least. Use the number lines below.

5. Put ${ \frac{6}{5} }$ , ${ \frac{6}{8} }$ , and ${ \frac{6}{6} }$ in order from least to greatest. Use the denominators of the fractions.

6. Use the number lines below to compare the two fractions. Then type the correct symbol in the circle.

7. Use the denominators below to compare the two fractions. Then type the correct symbol in the circle.

8. Use the denominators below to compare the two fractions. Then type the correct symbol in the circle.

9. Read the word problem below. Use the number line or the denominators to compare the fractions. Choose the sentence that matches your work.

10. Read the word problem below. Use the number line or the denominators to compare the fractions. Choose the sentence that matches your work.

Summary