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To Convert a Fraction into a Percentage

March 8, 2024 by admin Category: Top

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How To Convert Percentages To Fractions Using The Percent Button Casio Classwiz fx 85GTx Calculator
How To Convert Percentages To Fractions Using The Percent Button Casio Classwiz fx 85GTx Calculator

To Convert a Fraction into a Percentage

To convert a fraction into a percentage; we need to multiply the 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%

(iv) 15/100

= 15%

(v) 39/100

= 39%
(vi) 11/100

= 11%
For example:
(i) Express 3/4 as a percent.
Solution:
¾ × 100
= (3 × 100)/4
= 300/4
= 300/4 ÷ 4/4
[Divide the numerator and denominator by 4]
= 75%.
Answer: 75%
(ii) Express 12/5 as a percent.
Solution:
12/5 × 100
= (12 × 100)/5
= 1200/5
= 1200/5 ÷ 5/5
[Divide the numerator and denominator by 5]
= 240%.
Answer: 240%

(iii) Express 13/6 as a percent.
Solution:
13/6 × 100
= (13 × 100)/6
= 1300/6
= 1300/6 ÷ 2/2
[Divide the numerator and denominator by 2]
= 650/3
= 216 2/3%
Answer: 216 2/3%
(iv) Express 19/4 as a percent.
Solution:
19/4 × 100
= (19 × 100)/4 = 1900/4
= 1900/4 ÷ 4/4
[Divide the numerator and denominator by 4]
= 475%.
Answer: 475%
(v) Express 27/2 as a percent.
Solution:
27/2 × 100
= (27 × 100)/2
= 2700/2
= 2700/2 ÷ 2/2
[Divide the numerator and denominator by 2]
= 1350%.
Answer: 1350%

  Convert Fractions to Percentages without a Calculator

(vi) Express (frac{9}{25}) as a percent.

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Solution:

(frac{9}{25}) = (frac{9}{25}) × (frac{4}{100})

= 9 × 4

= 36%

Questions and Answers on Converting Fractions to Percent:

I. Convert the following fractions to percentage.

(i) (frac{1}{10})

(ii) (frac{3}{5})

(iii) (frac{7}{25})

(iv) (frac{29}{50})

(v) (frac{3}{4})

(vi) (frac{45}{50})

Answers:

I. (i) 10%

(ii) 60%

(iii) 28%

(iv) 58%

(v) 75%

(vi) 90%

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 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.

  • 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

  • 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 …

  • 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

  • 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 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]

  • 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.

  • 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

● Percentage

  Decimal to Percent Calculator

To Convert a Percentage into a Fraction

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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

5th Grade Numbers Page
5th Grade Math Problems
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