Decomposing Fractions

Adding Fractions with visuals, Decomposing fractions, Converting improper to mixed

By Samantha Pierre

Multiple Choice

Problem of the Day:

Chris and Jana both measured the distance they live from school. Jana lives closer to the school than Chris. If Chris lives $$\frac{2}{3}$$  mile from the school, which of the following could be howfar Jana lives from the school?3

• $$\frac{10}{12}$$  

• $$\frac{6}{8}$$  

• $$\frac{9}{10}$$  

• $$\frac{3}{8}$$  

Multiple Choice

Problem of the Day:

Malachi is lucky to have his 4 closest friends living in his neighborhood. Each friend lives less than one mile away. In the table, he recorded the distances away each friend lives from him. Which friend lives closest to Malachi?

• Annie 

• Matt 

• Parker 

• Bethany 

Multiple Choice

Problem of the Day:

An ant crawled from point Y to point Z on this number line. Which fraction describes the distance from points Y to point Z?

• $$\frac{1}{3}$$   

• $$\frac{1}{2}$$   

•   $$\frac{2}{7}$$  

• $$\frac{4}{6}$$   

Topic 9-1, 9-2, 9-3

Adding fractions with a visual, decomposing fractions, and adding fractions

Some text here about the topic of discussion

Visual

• When the denominators are the same , you can add the numerators because you are adding pieces of the same size

• See the image to the right -->

Multiple Choice

What is the top number of a fraction called?

• numerator

• denominator

• factor

• sum

Multiple Choice

What is the bottom number of a fraction called?

• numerator

• denominator

• fraction

• sum

Multiple Choice

When adding fractions with like denominators, the denominators....

• stays the same

• are added together

Multiple Choice

Add these Fractions

• 2/4
• 3/4
• 4/8
• 1

Multiple Choice

Solve.

• $$\frac{2}{10}$$  

• $$\frac{2}{8}$$  

• $$\frac{2}{5}$$  

• $$\frac{1}{5}$$  

Fill in the Blank

Solve. (Use the /key to show your fraction. Like 1/2)

Fill in the Blank

Solve. (Use the /key to show your fraction. Like 1/2)

Decomposing Fractions

Decompose means break apart. You can decompose fractions in many ways.

Multiple Choice

What fraction is represented by the sum of 1/6 + 1/6 + 1/6?

• 3/6
• 2/6
• 4/6
• 3/18

Multiple Choice

• $$\frac{1}{8}$$

• $$\frac{0}{8}$$

• $$\frac{2}{8}$$

Improper Fraction

Mixed Number

​

Multiple Choice

Name the improper fraction shown by the model.

• $$\frac{14}{18}$$

• $$\frac{12}{6}$$

• $$\frac{14}{6}$$

• $$\frac{12}{4}$$

Multiple Choice

Which mixed number does the model represent?

• 1  $$\frac{2}{7}$$  

• 1  $$\frac{3}{8}$$  

• 1  $$\frac{3}{7}$$  

• 1  $$\frac{5}{7}$$  

Multiple Choice

Which mixed number is represented by the model?

• 3  $$\frac{1}{4}$$  

• 3  $$\frac{4}{1}$$  

• 3  $$\frac{3}{4}$$  

• 4  $$\frac{1}{4}$$  

Multiple Choice

Write the improper fraction as a mixed number.

⁵/₄ =

• 1¹/₃

• 1¹/₄

• 3¹/₃

• 3¹/₄

Multiple Choice

Write the improper fraction as a mixed number.

¹⁰/₃

• 3¹/₃

• 2³/₂

• ³/₁₀

• 3²/₃

Multiple Choice

Write the improper fraction as a mixed number.

21/5

• 5 1/5

• 4 2/5

• 4 1/5

• 5 4/5

Multiple Choice

Write the improper fraction as a mixed number.

12/4

• 5 1/2

• 3

• 3 1/4

• 5