Comparing Unit Fractions

Comparing Fractions Using Area Models

Comparing fractions by reasoning about their size!

Methods to Compare Fractions

*Area Models (Pies or Fraction Bars)

*Number Lines

*Common Numerators & Denominators

*Benchmark Fractions

Multiple Choice

Choose the correct answer.

• $$\frac{2}{5}\ =\ \frac{3}{5}$$

• $$\frac{2}{5}\ >\ \frac{3}{5}$$

• $$\frac{2}{5}\ <\ \frac{3}{5}$$

Multiple Choice

Compare 1/4 and 1/7

• 1/4 > 1/7

• 1/4 < 1/7

• 1/4 = 1/7

Multiple Choice

Choose the correct answer.

• $$\frac{5}{8}\ >\ \frac{5}{8}$$

• $$\frac{5}{8}\ <\ \frac{5}{8}$$

• $$\frac{5}{8}\ =\ \frac{5}{8}$$

Multiple Choice

Compare the fractions.

4/10 ______________3/10

• $$<$$

• $$>$$

• $$=$$

Multiple Choice

Compare the fractions of the shaded region below.

• 3/6 = 5/6

• 1/6 < 3/6

• 3/6 < 5/6

• 5/6 < 3/6

Multiple Choice

Choose the correct answer.

• $$\frac{5}{6}\ >\ \frac{2}{3}$$

• $$\frac{5}{6}\ <\ \frac{2}{3}$$

• $$\frac{5}{6}\ =\ \frac{2}{3}$$

Multiple Choice

Choose the correct answer.

• $$\frac{2}{3}\ <\ \frac{5}{9}$$

• $$\frac{2}{3}\ >\ \frac{5}{9}$$

• $$\frac{2}{3}\ =\ \frac{5}{9}$$

Multiple Choice

Compare the fractions of the NOT shaded region.

• 2/4 > 1/4

• 2/2 > 1/3

• 2/4 > 3/4

• 3/4 > 2/4

Multiple Choice

Choose the correct answer.

• $$\frac{8}{10}\ <\frac{4}{5}$$

• $$\frac{8}{10}\ =\ \frac{4}{5}$$

• $$\frac{8}{10}\ >\ \frac{4}{5}$$

Multiple Choice

Choose the model that matches $$\frac{2}{3}\ >\ \frac{5}{9}$$  

Multiple Choice

Which fraction is equivalent to 1?

• 1/2

• 1/10

• 5/5

• 5/1

Multiple Choice

Choose the correct answer.

• $$\frac{5}{6}\ <\frac{1}{2}$$

• $$\frac{5}{6}\ =\ \frac{1}{2}$$

• $$\frac{5}{6}\ >\ \frac{1}{2}$$

Multiple Choice

Lily is painting two identical walls. The models are shaded to represent the fraction of each wall that is painted purple.

Which comparison of these fractions is true?

• 3/6 = 5/6

• 3/6 > 1/6

• 3/6 < 5/6

• 3/6 < 1/6

Multiple Choice

Daniel shaded two different number lines to model two different fractions. Based on the number lines, which comparison is true?

• 1/3 > 1/2

• 1/3 = 1/2

• 1/3 < 1/2

• 2/3 < 1/2

Multiple Choice

• <

• >

• =

Multiple Choice

Use the fraction strips to answer the question.

Name an equivalent fraction to 1/2

• 1/4

• 1/3

• 2/3

• 3/6

Multiple Choice

Which fraction is equivalent to 3/6?

• 2/8

• 3/8

• 4/8

• 5/8

Multiple Choice

Look at the shaded model. Which number sentence is true?

• 3/8>5/8

• 4/8<3/8

• 3/8<4/8

• 3/8<5/8

Multiple Choice

Nelson is playing a math game. He needs to match two cards that show equivalent fractions.Which of these cards shows a fraction that is equivalent to Nelson's card?

Multiple Choice

The number on the top of a fraction is called what?

• numerator
• denominator
• fractionator
• equivalent

Multiple Choice

The number on the bottom of a fraction is called what?

• numerator
• denominator
• equivalent
• improper

Multiple Choice

Use the number line to find one equivalent fraction for 3/4.

• 7/8

• 6/8

• 13/16

• 2/8

Multiple Choice

What does the denominator represent?

• the total number of pieces 
• the top number
• the focus or part

Multiple Select

What is true about this comparison? Select all that apply.

• 1/4 is greater than 1/2.

• 1/4 is less than 1/2.

• 1/4 is equivalent to 1/2.

• 1/2 is greater than 1/4.

• 1/2 is equivalent to 1/4.

Multiple Choice

What do the number lines show?

• 2/6 > 2/7

• 2/6 = 2/7

• 2/6 < 2/7

• 2/7 > 2/6

Multiple Choice

Which comparison does this number line show?

• 3/4 > 6/8

• 3/4 < 6/8

• 4/4 > 8/8

• 3/4 = 6/8

Multiple Choice

Choose the fraction that is greater than 1 (a whole).

• $$\frac{1}{2}$$

• $$\frac{8}{7}$$

• $$\frac{2}{3}$$

• $$\frac{5}{8}$$

Multiple Select

Choose all fractions that are greater than  $$\frac{1}{2}$$  .

• $$\frac{5}{8}$$  

• $$\frac{2}{3}$$  

• $$\frac{1}{3}$$  

• $$\frac{2}{10}$$  

Multiple Choice

The number BELOW the fraction bar

• Fraction

• Numerator

• Denominator

• Equivalent Fraction

Multiple Choice

The number ABOVE the fraction bar

• Numerator

• Denominator

• Roof

• Basement

Multiple Choice

 2 or more fractions that name the same part of a whole or same point on a number line. 

• Equivalent Fraction

• Numerator

• Denominator

• Fraction

Multiple Choice

Find the equivalent fraction .

2/8

• 1/4

• 3/8

• 4/9

• 9/12

Multiple Choice

Find The Equivalent Fraction.

4/6

• 1/12

• 3/15

• 9/10

• 2/3

Multiple Choice

Write the improper fraction as a mixed number

¹²/₄

• 3 ³/₄

• 3 ¹/₄

• 3

• 4

Multiple Choice

The blue shaded section shows...

• one-half

• one-fourth

• two-fourths

• three-fourths

Multiple Choice

How much of the pizza has been eaten?

• one-fourth

• one-third

• three-fourths

• three-thirds

Multiple Choice

Which picture shows 1/2?

• green
• blue
• purple
• pink

Multiple Choice

This is 5/4. It is also:

• 1 3/4

• 2 1/4

• 1 1/4

• 4/4

Multiple Choice

What improper fraction is shown?

• 20/8

• 21/8

• 21/24

• 8/20

Multiple Choice

This is 11/4 pizza. This is also:

• 3 1/4

• 2 3/4

• 2 1/4

• 11/12

Multiple Choice

This is 6/2. It is also:

• 2 2/2

• 2 1/2

• 3 1/2

• 3

Multiple Select

What fractions are represented by the shaded partitions in this model?

• 2/3

• 3/4

• 2/6

• 4/6

Multiple Select

Look at the models. Which statements are true?

• $$\frac{1}{4}$$ is less than $$\frac{2}{4}$$

• $$\frac{2}{4}$$ is greater than $$\frac{1}{4}$$

• $$\frac{1}{4}$$ is greater than $$\frac{2}{4}$$

• $$\frac{2}{4}$$ is equivalent to $$\frac{1}{4}$$

Multiple Select

Look at the models. Which statements are true?

• $$\frac{1}{4}$$ < $$\frac{2}{4}$$

• $$\frac{2}{4}$$ > $$\frac{1}{4}$$

• $$\frac{1}{4}$$ > $$\frac{2}{4}$$

• $$\frac{2}{4}$$ = $$\frac{1}{4}$$

Multiple Choice

Look at the models above. One says 1/4 and one says 2/4. But there is a problem. Why can't I use the models to compare fractions?

• Because they are not the same size.

• Because they are not the same color.

• Because they are not the same shape.

• Because they are not models.

Multiple Choice

• F

• G

• H

• J

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• F

• G

• H

• J

Multiple Choice

Which is true?

Multiple Choice

Which is true?

Multiple Choice

This model is shaded to show a fraction of a whole. Which model below is shaded to show a fraction with a value greater than the model?

Multiple Choice

Reduce the following fraction:
16/20 =

• 8/10
• 4/5
• 1/2
• 16/20

Multiple Choice

Write 5/7 as a unit fraction. 

• 1/7 + 1/7 + 1/7 + 1/7 + 1/7
• 1/7 + 1/7 + 1/7 + 1/7 + 1/7 + 1/7 + 1/7 
• 2/7 + 3/7 
• 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/5 

Multiple Choice

What mix number is represented by the sum of 1/3 + 1/3 + 1/3 + 1/3 + 1/3 

• 2 wholes 1/3 
• 5 wholes 
• 1 whole 2/3
• 5/3