Content code
m1665
Slug (identifier)
converting-a-percentage-into-a-fraction-or-decimal-number
Parent content
Grades
Grade 5
Grade 6
Equivalent file in the opposite grade group
Topic
Mathematics
Content
Title (level 2)
5th and 6th Grade
Title slug (identifier)
fifth-and-sixth-grade
Contenu
Contenu
Title
How is a percentage converted into a fraction?
Content
Corps

A percentage is a form of writing that represents an amount on |100.|
The fraction, therefore, will also be on |100| |\left(\dfrac{?}{100}\right).|

Content
Corps

To convert a percentage into a fraction, I have to follow these steps.

  1. I write the number of the percentage as the fraction’s numerator.

  2. I write |100| as the denominator of the fraction.

Content
Corps

Convert |43\ \%| into a fraction.

  1. I write the number of the percentage as the fraction’s numerator.

|\dfrac{43}{?}|

  1. I write |100| as the fraction’s denominator.

|\dfrac{43}{100}|

|43\ \%| becomes |\dfrac{43}{100}.|

Content
Corps

Make sure to follow the instructions. Sometimes, the result must be expressed in its simplest form.

Read the Irreducible fractions concept sheet to learn how.

Title
How is a percentage converted into a decimal number?
Content
Content
Corps

To convert a percentage into a decimal number, I have to follow these steps.

  1. I remove the percent symbol (%).

  2. I divide by |100.|

Content
Corps

Convert |82\ \%| into a decimal number.

  1. I remove the percent symbol (%).

|82|

  1. I divide by |100.|

|82 \div 100 = 0.82|

|82\ \%| becomes |0.82.|

Content
Corps

Convert |6\ \%| into a decimal number.

  1. I remove the percent symbol (%).

|6|

  1. I divide by |100.|

|6 \div 100=0.06|

|6\ \%| becomes |0.06.|

Content
Corps

Convert |120\ \%| into a decimal number.

  1. I remove the percent symbol (%).

|120|

  1. I divide by |100.|

|120 \div 100=1.2|

|120\ \%| becomes |1.2.|

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