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Published byAshlie Moody Modified over 8 years ago

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Fractions, Decimals, and Percentages Brought to you by Tutorial Services – The Math Center

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DEFINITIONS FRACTIONS Fractions are representations of parts of a whole. They are composed of a numerator and of a denominator. DECIMALS A decimal is a number that includes a decimal point and digits to the right of the decimal point. PERCENTAGES Percent is defined as parts per hundred.

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CONVERSIONS Decimal to Percent Move the decimal point twice to the right in the original decimal. Ex. Convert 0.98 to a percent Ex. Convert 2.951 to a percent 98. 2 951. % %

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Percent to decimal Remove the percent symbol and move the decimal point twice to the left. Ex. Convert 46% to a decimal Ex. Convert 0.182% to a decimal 46%. 0 182.%0

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Fraction to decimal Divide the numerator by the denominator. Ex. Convert 3/8 to a decimal Ex. Convert 112/320 to a decimal 3.0008.375 112.00320.35

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Decimal to fraction Place the decimal portion of the decimal number in the numerator and the digit’s place value in the denominator. Ex. Convert 0.142 to a fraction Note: Since 142 is in the thousandths place, we use 1000 as the denominator. Ex. Convert 5.48 to a fraction.142= 142 1000 = 71 500 5.48==5 48 100 5 12 25

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Fraction to Percent Multiply the fraction by 100% to convert it to a percent. Ex. Convert 5/9 to a percentage Ex. Convert 2/3 to a percentage 5 9 x100%= 500% 9 =55.5% 2 3 ==x100% 200% 3 66.6%

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Percent to Fraction Remove the percent symbol and divide the percentage value by 100. Ex. Convert 55% to a fraction Ex. Convert 135% to a fraction 55%= 55 100 = == 11 20 135% 135 100 27 20 =1 7

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To conclude Remember that fractions, decimals, and percentages are all related as shown by the table in the handout.handout

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Brought to you by Tutorial Services – The Math Center Questions?

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Fractions, Decimals, and Percentages Links Fractions Handout Common Denominator Handout Fractions Quiz Fractions, Decimals, & Percentages Quiz Percentages Handout

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