Conversion of Fractions and Decimals to Percentage Method, Examples


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A percent is a ratio expressed as a fraction of 100, so the whole is equal to "100%". In math and science, however, decimals are more frequently used to express portions. When using decimals, we consider "1" as the whole. Therefore we have 1=100%, and we come to a formula that gives the relation between decimals and percentages:


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Step 1: Convert the fraction into a decimal number. To do this, divide the numerator by the denominator. Step 2: To get a percent value, multiply the obtained decimal number by 100. The result is the fraction as a percent. Write the percent with % symbol next to the answer. Another way is to multiply the fraction by 100 and simplify.


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Fractions to percents Let's convert 3 5 to a percent. The key here is to turn 3 5 to a fraction with a denominator of 100 . To do this, we need to know what times 5 gives us 100 : 5 ×? = 100 The number is 100 ÷ 5 = 20 : 5 × 20 = 100 Now we're ready to convert 3 5 to a percent:


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To convert a fraction to a decimal, divide the numerator by the denominator. For example, to convert 3/4 to a decimal, you would perform the following calculation: Decimal = Numerator / Denominator Decimal = 3 / 4 Decimal = 0.75 Decimal to Percentage: To convert a decimal to a percentage, multiply it by 100.


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To convert a percent to a fraction you first convert the percent to a decimal then use the same procedure as converting a decimal to fraction. How to Convert a Percent to Fraction Divide the percentage by 100 to get a decimal number. Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction.


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Fractions to Decimals to Percentages. Convert fractions to decimals - treat the fraction like a division and divide the number on the top by the number on the bottom. e.g. \dfrac{9}{20} = 9 \div 20 = 0.45. Convert decimals to percentages - multiply by 100 (move the decimal point right 2 places). e.g. 0.45 \times 100 = 45\%


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The numerator is the percentage value. The denominator is 100. 36% is 36 out of 100. Simplify the fraction by dividing the numerator (36) and the denominator (100) by their HCF (4). 36⁄100.


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What are fractions, decimals and percentages? Fractions, decimals and percentages are different ways of representing a proportion of the same amount. There is equivalence between fractions, decimals and percentages. E.g. \frac{43}{100}=0.43=43\%


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To convert a fraction to a percentage divide the top number by the bottom number, then multiply the result by 100% Example: Convert 3 8 to a percentage First divide 3 by 8: 3 ÷ 8 = 0.375 Then multiply by 100%: 0.375 × 100% = 37.5% Answer: 3 8 = 37.5% From Percentage to Fraction


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1 Move the decimal point two places to the left to convert a percent to a decimal. Unless otherwise noted, in a percent, the decimal point comes at the end of the last number. For example, envision that 75% actually looks like 75.0%. Moving the decimal point two places to the left converts the percent to a decimal.


Conversion of Fractions and Decimals to Percentage Method, Examples

Fractions Decimals Percents Worksheets. We have split up our fractions decimals percents worksheets into several different sections to make it easier for you to choose the skill you want to practice. The first section is just converting fractions into decimals and percents. The second sections is about converting decimals to percents and fractions.


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Since percents are ratios, they can easily be expressed as fractions. Remember that percent means per 100, so the denominator of the fraction is 100. To convert a percent to a decimal, we first convert it to a fraction and then change the fraction to a decimal. To convert a decimal to a percent, remember that percent means per hundred.


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