# To Convert a Percentage into a Fraction

To convert a percentage into a fraction, place the given number over 100 and reduce it to its lowest term.

Consider the following example:

(i) 20%

[We know % = 1/100]

= 20/100

[Now we need to reduce 20/100 to its lowest term]

= 20/100 ÷ 20/20

[Divide both the numerator and denominator by 20]

= 1/5

(ii) 6%

[We know % = 1/100]

= 6/100

[Now we need to reduce 6/100 to its lowest term]

= 6/100 ÷ 2/2

[Divide both the numerator and denominator by 2]

= 3/50

(iii) 150%

[We know % = 1/100]

= 150/100

[Now we need to reduce 150/100 to its lowest term]

= 150/100 ÷ 50/50

[Divide both the numerator and denominator by 50]

= $$\frac{3}{2}$$

= 1$$\frac{1}{2}$$

(iv) 48%

[We know % = 1/100]

= 48/100

[Now we need to reduce 48/100 to its lowest term]

= 48/100 ÷ 4/4

[Divide both the numerator and denominator by 4]

= 12/25

(v) 92%

[We know % = 1/100]

= 92/100

[Now we need to reduce 92/100 to its lowest term]

= 92/100 ÷ 4/4

[Divide both the numerator and denominator by 4]

= 23/25

(vi) 25%

[We know % = 1/100]

= 25/100

[Now we need to reduce 25/100 to its lowest term]

= 25/100 ÷ 25/25

[Divide both the numerator and denominator by 25]

= 1/4

Questions and Answers on Convert a Percentage into a Fraction:

I. Convert the following percentages to fraction:

(i) 9%

(ii) 11%

(iii) 10%

(iv) 25%

(v) 66%

(vi) 83%

(vii) 15%

(viii) 97%

(i) $$\frac{9}{100}$$

(ii) $$\frac{11}{100}$$

(iii) $$\frac{10}{100}$$ i.e., $$\frac{1}{10}$$

(iv) $$\frac{25}{100}$$ i.e., $$\frac{1}{4}$$

(v) $$\frac{66}{100}$$ i.e., $$\frac{33}{50}$$

(vi) $$\frac{83}{100}$$

(vii) $$\frac{15}{100}$$ i.e., $$\frac{3}{20}$$

(viii) $$\frac{97}{100}$$

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In 5th grade percentage worksheet, students can practice the questions on percentage. The questions are based on convert percentages to fractions, convert percentages to decimals, convert fractions to percentages, convert decimals to percentages, find the percentage of

• ### Word Problems on Percentage | Percent Problems | Real Life Problems

Word problems on percentage will help us to solve various types of problems related to percentage. Follow the procedure to solve similar type of percent problems. 1. In an exam Ashley secured 332 marks. If she secured 83 % makes, find the maximum marks.

• ### Worksheet on Percentage of a Number | Find the Percent of a Number

Practice the questions given in the worksheet on percentage of a number. We know, to find the percent of a number we obtain the given number and then multiply the number by the required percent i.e., x % of a = x/100 × a 1. Find the following: (i) 22 % of 140

• ### Worksheet on Percent Problems | Questions on Application of Percentage

In worksheet on percent problems we will practice various types of questions on calculating percentage problems. To answer the questions review application of percentage before practicing the sheet. Fill in the blanks:(i)The symbol of percent is … (ii)The word ‘cent’ means …

• ### To Find the Percent of a Given Number | Word Problem on Percentage

What is 18% of 500? 18% of 500 represent 18 parts out of hundred, so 18% of 500 represents 18 parts for each hundred which is 18 + 18 + 18 + 18 + 18 = 90. Thus, 18% of 500 = 90 So, 18% of 500 = $$\frac{18}{100}$$ × 500 = 18 × 5 = 90. To find the percent of a given number

• ### Convert a Decimal into Percentage | Conversion of Decimal into Percent

How to convert a decimal into percentage? We will follow the following steps for converting a decimal into a percentage: Step I: Obtain the number in decimal form. Step II: Multiply the number in decimal form by 100 and put percent sign (%)

• ### To Convert a Fraction into a Percentage|Converting Fraction to Percent

To convert a fraction into a percent, we multiply the given fraction by 100 and add the percent symbol after the product. Let us consider how to change a fraction to a percent (i) 42/100 = 42% (ii) 73/100 = 73% (iii) 6/100 = 6%

• ### Percentage into Decimal | Percentage as Decimals|Percent into Fraction

How to convert a given percentage into decimal? We will follow the following steps for converting a percentage into a decimal: Step I: Obtain the percentage which is to be converted into decimal Step II: Remove the percentage sign (%) and divide it by 100.

• ### Percentage | Symbol of Percent | Fraction with Denominator 100

A fraction with denominator 100 is called percentage and is denoted by the symbol %. In our daily life, we see a lot of statements with numbers followed by a symbol %. A number followed by % is called a percentage or percent. The term percent comes from the Latin phrase per

To Convert a Percentage into a Fraction

To Convert a Fraction into a Percentage

To find the percent of a given number

To find what Per cent is one Number of another Number

To Calculate a Number when its Percentage is Known
The text passage provides a detailed explanation and examples of converting percentages into fractions, followed by a set of questions and their answers on the same topic.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# To Convert a Percentage into a Fraction

To convert a percentage into a fraction, place the given number over 100 and reduce it to its lowest term.

Consider the following example:

(i) 20%

[We know % = 1/100]

= 20/100

[Now we need to reduce 20/100 to its lowest term]

= 20/100 ÷ 20/20

[Divide both the numerator and denominator by 20]

= 1/5

(ii) 6%

[We know % = 1/100]

= 6/100

[Now we need to reduce 6/100 to its lowest term]

= 6/100 ÷ 2/2

[Divide both the numerator and denominator by 2]

= 3/50

(iii) 150%

[We know % = 1/100]

= 150/100

[Now we need to reduce 150/100 to its lowest term]

= 150/100 ÷ 50/50

[Divide both the numerator and denominator by 50]

= $$\frac{3}{2}$$

= 1$$\frac{1}{2}$$

(iv) 48%

[We know % = 1/100]

= 48/100

[Now we need to reduce 48/100 to its lowest term]

= 48/100 ÷ 4/4

[Divide both the numerator and denominator by 4]

= 12/25

(v) 92%

[We know % = 1/100]

= 92/100

[Now we need to reduce 92/100 to its lowest term]

= 92/100 ÷ 4/4

[Divide both the numerator and denominator by 4]

= 23/25

(vi) 25%

[We know % = 1/100]

= 25/100

[Now we need to reduce 25/100 to its lowest term]

= 25/100 ÷ 25/25

[Divide both the numerator and denominator by 25]

= 1/4

Questions and Answers on Convert a Percentage into a Fraction:

I. Convert the following percentages to fraction:

(i) 9%

(ii) 11%

(iii) 10%

(iv) 25%

(v) 66%

(vi) 83%

(vii) 15%

(viii) 97%

(i) $$\frac{9}{100}$$

(ii) $$\frac{11}{100}$$

(iii) $$\frac{10}{100}$$ i.e., $$\frac{1}{10}$$

(iv) $$\frac{25}{100}$$ i.e., $$\frac{1}{4}$$

(v) $$\frac{66}{100}$$ i.e., $$\frac{33}{50}$$

(vi) $$\frac{83}{100}$$

(vii) $$\frac{15}{100}$$ i.e., $$\frac{3}{20}$$

(viii) $$\frac{97}{100}$$

## You might like these

In 5th grade percentage worksheet, students can practice the questions on percentage. The questions are based on convert percentages to fractions, convert percentages to decimals, convert fractions to percentages, convert decimals to percentages, find the percentage of

• ### Word Problems on Percentage | Percent Problems | Real Life Problems

Word problems on percentage will help us to solve various types of problems related to percentage. Follow the procedure to solve similar type of percent problems. 1. In an exam Ashley secured 332 marks. If she secured 83 % makes, find the maximum marks.

• ### Worksheet on Percentage of a Number | Find the Percent of a Number

Practice the questions given in the worksheet on percentage of a number. We know, to find the percent of a number we obtain the given number and then multiply the number by the required percent i.e., x % of a = x/100 × a 1. Find the following: (i) 22 % of 140

• ### Worksheet on Percent Problems | Questions on Application of Percentage

In worksheet on percent problems we will practice various types of questions on calculating percentage problems. To answer the questions review application of percentage before practicing the sheet. Fill in the blanks:(i)The symbol of percent is … (ii)The word ‘cent’ means …

• ### To Find the Percent of a Given Number | Word Problem on Percentage

What is 18% of 500? 18% of 500 represent 18 parts out of hundred, so 18% of 500 represents 18 parts for each hundred which is 18 + 18 + 18 + 18 + 18 = 90. Thus, 18% of 500 = 90 So, 18% of 500 = $$\frac{18}{100}$$ × 500 = 18 × 5 = 90. To find the percent of a given number

• ### Convert a Decimal into Percentage | Conversion of Decimal into Percent

How to convert a decimal into percentage? We will follow the following steps for converting a decimal into a percentage: Step I: Obtain the number in decimal form. Step II: Multiply the number in decimal form by 100 and put percent sign (%)

• ### To Convert a Fraction into a Percentage|Converting Fraction to Percent

To convert a fraction into a percent, we multiply the given fraction by 100 and add the percent symbol after the product. Let us consider how to change a fraction to a percent (i) 42/100 = 42% (ii) 73/100 = 73% (iii) 6/100 = 6%

• ### Percentage into Decimal | Percentage as Decimals|Percent into Fraction

How to convert a given percentage into decimal? We will follow the following steps for converting a percentage into a decimal: Step I: Obtain the percentage which is to be converted into decimal Step II: Remove the percentage sign (%) and divide it by 100.

• ### Percentage | Symbol of Percent | Fraction with Denominator 100

A fraction with denominator 100 is called percentage and is denoted by the symbol %. In our daily life, we see a lot of statements with numbers followed by a symbol %. A number followed by % is called a percentage or percent. The term percent comes from the Latin phrase per

To Convert a Percentage into a Fraction

To Convert a Fraction into a Percentage

To find the percent of a given number

To find what Per cent is one Number of another Number

To Calculate a Number when its Percentage is Known
user
The text passage provides a detailed explanation and examples of converting percentages into fractions, followed by a set of questions and their answers on the same topic.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS