# Converting Decimals to Improper Fractions and Mixed Numbers

A fraction whose denominator is greater than its numerator is known as a proper fraction, while a fraction whose numerator is greater than its denominator is known as an improper fraction. Proper fractions have values less than one and improper fractions have values greater than one. A mixed number is a number that contains both an integer and a fraction. Any improper fraction can be rewritten as a mixed number. Example: 8/3=6/3+2/3=2+2/3=22/3. Similarly, any mixed number can be rewritten as an improper fraction. Example: 1 3/5=1+3/5=5/5+3/5=8/5. Percentages can be thought of as fractions that are based on a whole of 100; that is, one whole is equal to 100%. The word percent means “per hundred.” Fractions can be expressed as percents by finding equivalent fractions with a denomination of 100. Example: 7/10=70/100=70%; 1/4=25/100=25%. To express a percentage as a fraction, divide the percentage number by 100 and reduce the fraction to its simplest possible terms. Example: 60%= 60/100=3/5; 96%= 96/100=24/25. Converting decimals to percentages and percentages to decimals is as simple as moving the decimal point. To convert from a decimal to a percent, move the decimal point two places to the right. To convert from a percent to a decimal, move it two places to the left. Example: 0.23 = 23%; 5.34 = 534%; 0.007 = 0.7%; 700% = 7.00; 86% = 0.86; 0.15% = 0.0015.

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Last updated: 02/19/2018

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