Subjects

Arithmetic

Percents

Equivalent Representations of Percent Problems

Easy Ways to Change Percents to Fractions and Decimals

Name: Knowunity
Brand: Knowunity

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Easy Ways to Change Percents to Fractions and Decimals

Alesha

@aleshasiddiqui

22 Followers

Understanding percentages, fractions, and decimal conversions is essential for mathematical fluency. This comprehensive guide explains various methods for converting between different numerical representations.

• Learn how to convert percents to fractions through a systematic approach involving decimal conversion and simplification
• Master methods for converting percents to decimals using division by 100
• Understand the relationship between percentages, fractions, and decimals through multiple conversion techniques
• Explore practical applications like calculating percentages of whole numbers
• Familiarize yourself with common percentage values and their equivalent representations

8/16/2023

197

$Percents → To convert percents to fractions: 1. Remove the percentage sigh and write the # as a decimal 2. Convert the decimal to fraction b$

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Conversion Methods and Representations

This page details various methods for converting between different numerical representations and introduces common percentage values.

Vocabulary: Per mille form refers to expressing a percentage as parts per thousand.

Definition: Converting between forms involves systematic steps: percent to decimal requires division by 100, while percent to fraction involves writing the number over an appropriate power of 10.

Highlight: Percentages can be written in multiple forms:

Decimal form (25% = 0.25)
Fraction form (75% = 75/100)
Ratio form (60% = 60:100)
Per mille form (5% = 50 per mille)

Example: Common percentages and their fraction equivalents:

25% = 1/4 (quarter)
50% = 1/2 (half)
75% = 3/4 (three quarters)

$Percents → To convert percents to fractions: 1. Remove the percentage sigh and write the # as a decimal 2. Convert the decimal to fraction b$

View

Additional Common Percentages

This page completes the list of common percentage values and their equivalent representations in fraction form.

Highlight: Understanding these common conversions helps in quick mental calculations and real-world applications.

Example: Additional common percentages include:

33.33% = 1/3
90% = 90/100
5% = 5/100 or 1/20

$Percents → To convert percents to fractions: 1. Remove the percentage sigh and write the # as a decimal 2. Convert the decimal to fraction b$

View

Converting Percentages to Other Forms

This page introduces fundamental concepts for converting percentages to fractions and decimals. The process is explained through detailed steps and practical examples.

Definition: A percentage represents a portion of a whole, expressed as a number out of 100.

Example: Converting 75% to a fraction involves removing the percentage sign (75), writing it as a decimal (0.75), and then expressing it as a fraction (75/100).

Highlight: To convert percentages to decimals, simply divide the percentage number by 100 (e.g., 25% = 25 ÷ 100 = 0.25).

Example: When calculating percentages of whole numbers, like finding 20% of 150, first convert the percentage to a decimal (0.2) and then multiply by the whole number (150) to get 30.

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Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

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Knowunity is the # 1 ranked education app in five European countries

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Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

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Subjects

Arithmetic

Percents

Equivalent Representations of Percent Problems

Easy Ways to Change Percents to Fractions and Decimals

Alesha

@aleshasiddiqui

22 Followers

8/16/2023

197

6th/7th

Arithmetic

$Percents → To convert percents to fractions: 1. Remove the percentage sigh and write the # as a decimal 2. Convert the decimal to fraction b$

Conversion Methods and Representations

This page details various methods for converting between different numerical representations and introduces common percentage values.

Vocabulary: Per mille form refers to expressing a percentage as parts per thousand.

Definition: Converting between forms involves systematic steps: percent to decimal requires division by 100, while percent to fraction involves writing the number over an appropriate power of 10.

Highlight: Percentages can be written in multiple forms:

Decimal form (25% = 0.25)
Fraction form (75% = 75/100)
Ratio form (60% = 60:100)
Per mille form (5% = 50 per mille)

Example: Common percentages and their fraction equivalents:

25% = 1/4 (quarter)
50% = 1/2 (half)
75% = 3/4 (three quarters)

$Percents → To convert percents to fractions: 1. Remove the percentage sigh and write the # as a decimal 2. Convert the decimal to fraction b$

Additional Common Percentages

This page completes the list of common percentage values and their equivalent representations in fraction form.

Highlight: Understanding these common conversions helps in quick mental calculations and real-world applications.

Example: Additional common percentages include:

33.33% = 1/3
90% = 90/100
5% = 5/100 or 1/20

$Percents → To convert percents to fractions: 1. Remove the percentage sigh and write the # as a decimal 2. Convert the decimal to fraction b$

Converting Percentages to Other Forms

This page introduces fundamental concepts for converting percentages to fractions and decimals. The process is explained through detailed steps and practical examples.

Definition: A percentage represents a portion of a whole, expressed as a number out of 100.

Example: Converting 75% to a fraction involves removing the percentage sign (75), writing it as a decimal (0.75), and then expressing it as a fraction (75/100).

Highlight: To convert percentages to decimals, simply divide the percentage number by 100 (e.g., 25% = 25 ÷ 100 = 0.25).

Example: When calculating percentages of whole numbers, like finding 20% of 150, first convert the percentage to a decimal (0.2) and then multiply by the whole number (150) to get 30.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Easy Ways to Change Percents to Fractions and Decimals

Conversion Methods and Representations

Additional Common Percentages

Converting Percentages to Other Forms

Similar Content

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying

Easy Ways to Change Percents to Fractions and Decimals

Conversion Methods and Representations

Additional Common Percentages

Converting Percentages to Other Forms

Similar Content

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying