![]() ![]() In cases that are not as simple, we can use proportions and basic algebra to express a given fraction as an equivalent fraction of 100. This is as easy as dividing the numerator by the denominator. In some cases (such as with ¼), it may be relatively simple to convert the denominator of a given fraction to 100. The first step is to convert the fraction to a decimal number. As such, the percent form of any fraction of 100 is simply the numerator of the fraction. The term percent comes from "per centum," which is latin for "by a hundred." It refers to the fact that percents are ratios that are expressed as a fraction of 100. Converting fractions to percents using equivalent fractions This is a guaranteed way to convert a fraction to a percent, though depending on what the fraction is, the long-division can be tedious depending on what level of precision is necessary. If no calculator is available, use long division (or other methods) to convert the fraction into a decimal, then multiply the result by 100. To convert a decimal to a percentage, multiply by 100. As such, if a calculator is available, the simplest way to convert a fraction to a percent is to perform the division problem then multiply the result by 100 to obtain the percent. This gives us the relationship between decimals and percentages. The Rock and Oprah angered some fans by seeking public donations for Maui, Hawaii, fire victims. Multiplying any decimal by 100 (shifting the decimal point to places to the right) will convert that decimal into a percent. Converting a fraction into a percentage can be. This makes a correctly formed fraction: 8 10. Multiply top and bottom by 10 for every number after the decimal point (10 for 1 number,100 for 2 numbers, etc): 0.8 × 10 1 × 10. Converting fractions to percents using decimals Converting a percentage into a fraction can be done by dividing by 100, following the definition of a percentage. Write down the decimal 'over' the number 1: 0.8 1. Knowing these relationships allows us to use a variety of strategies to convert fractions to percentages. We don't need to actually perform the multiplication due to the nature of the decimal numeral system: each place represents a power of 10, and since 100 = 10 2, shifting the decimal point two places to the right is the same as multiplying by 100. This is equivalent to shifting the decimal place two places to the right. ![]() This gives us the relationship between decimals and percentages. If we were to perform the division problem to convert the fraction to a decimal, we would find that: Thus, if a given fraction is, or can be written as an equivalent fraction such that the denominator is 100, then converting the fraction to a percent is trivial: the numerator is the percent. While a fraction can be any ratio, percentages represent parts relative to a hundredth of a part. Fractions, percents, and decimalsįractions and percents represent parts of a whole. Multiply with the number that you want to get the percentage of. Depending on what resources are available, it can be relatively simple or somewhat tedious, but in any case, it requires an understanding of what fractions, decimals, and percentages are. Calculate the percentage of a number using the following steps: Convert percentage to a fraction with a denominator of 100. There are a number of ways to convert a fraction to a percent. The GCF of 45 and 10 is 5.Home / primary math / fraction / fraction to percent Fraction to percent ![]() This calculator reduces the improper fraction to lowest terms by dividing numerator and denominator by the greatest common factor ( GCF).When possible this calculator first reduces an improper fraction to lowest terms before finding the mixed number form.Įxample: Convert the improper fraction 45/10 to a mixed number. With 1 as the numerator and 3 as the denominator, the fraction part of the mixed number is 1/3. Divide 16 by 3: 16 ÷ 3 = 5 with remainder of 1.This is the fraction part of the mixed number.Įxample: Convert the improper fraction 16/3 to a mixed number. Use the remainder as the new numerator over the denominator.Divide the numerator by the denominator. ![]() How to Convert an Improper Fraction to a Mixed Number Examples of improper fractions are 16/3, 81/9, 525/71. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number.Īn improper fraction is any fraction where the numerator is greater than the denominator.A number that will divide evenly into both the numerator and denominator so it can be reduced, or.In order to simplify a fraction there must be: This calculator also simplifies proper fractions by reducing to lowest terms and showing the work involved. Example entries: Fraction - like 2/3 or 15/16. Convert improper fractions to mixed numbers in simplest form. Enter a fraction, mixed number or integer to get fractions that are equivalent to your input. ![]()
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